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10TH GRADE PRACTICE

Physics Problems: Kinematics, Grade 10

Description of linear and circular motion.

32 problems3 subtopics
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CONDITIONS

Problems

32
№ 1

Problem 1

Kinematics: uniform motion

How long will it take the car to cover a distance of 250 m250\,\text{m} at a speed of 72 km/h72\,\text{km/h}?

  1. 6,25 s6{,}25\,\text{s}
  2. 25 s25\,\text{s}
  3. 125 s125\,\text{s}
  4. 12,5 s12{,}5\,\text{s}
№ 2

Problem 2

Kinematics: uniformly accelerated motion

Having a speed of 20 m/s20\,\text{m/s}, the car slows down and stops in 8 s8\,\text{s}. Determine the acceleration modulus and the distance traveled.

  1. (2,5 m/s2; 80 m)\left(2{,}5\,\text{m/s}^{2};\ 80\,\text{m}\right)
  2. (1,25 m/s2; 40 m)\left(1{,}25\,\text{m/s}^{2};\ 40\,\text{m}\right)
  3. (5 m/s2; 160 m)\left(5\,\text{m/s}^{2};\ 160\,\text{m}\right)
  4. (25 m/s2; 800 m)\left(25\,\text{m/s}^{2};\ 800\,\text{m}\right)
№ 5

Problem 5

Kinematics: free fall and circular motion

A car wheel with a radius of 30 cm30\,\text{cm} makes 300300 revolutions per minute. Determine the period, frequency, angular velocity, linear velocity and centripetal acceleration of the extreme points. Then find the braking distance and acceleration modulus of the car if it stopped in 10 s10\,\text{s}.

  1. (0,1 s; 2,5 Gts; 15,7 rad/s; 4,71 m/s; 147,9 m/s2; 23,55 m; 0,471 m/s2)\left(0{,}1\,\text{s};\ 2{,}5\,\text{Gts};\ 15{,}7\,\text{rad/s};\ 4{,}71\,\text{m/s};\ 147{,}9\,\text{m/s}^{2};\ 23{,}55\,\text{m};\ 0{,}471\,\text{m/s}^{2}\right)
  2. (0,4 s; 10 Gts; 62,8 rad/s; 18,84 m/s; 591,6 m/s2; 94,2 m; 1,884 m/s2)\left(0{,}4\,\text{s};\ 10\,\text{Gts};\ 62{,}8\,\text{rad/s};\ 18{,}84\,\text{m/s};\ 591{,}6\,\text{m/s}^{2};\ 94{,}2\,\text{m};\ 1{,}884\,\text{m/s}^{2}\right)
  3. (2 s; 50 Gts; 314 rad/s; 94,2 m/s; 2958 m/s2; 471 m; 9,42 m/s2)\left(2\,\text{s};\ 50\,\text{Gts};\ 314\,\text{rad/s};\ 94{,}2\,\text{m/s};\ 2958\,\text{m/s}^{2};\ 471\,\text{m};\ 9{,}42\,\text{m/s}^{2}\right)
  4. (0,2 s; 5 Gts; 31,4 rad/s; 9,42 m/s; 295,8 m/s2; 47,1 m; 0,942 m/s2)\left(0{,}2\,\text{s};\ 5\,\text{Gts};\ 31{,}4\,\text{rad/s};\ 9{,}42\,\text{m/s};\ 295{,}8\,\text{m/s}^{2};\ 47{,}1\,\text{m};\ 0{,}942\,\text{m/s}^{2}\right)
№ 6

Problem 6

Kinematics: free fall and circular motion

A body is thrown vertically upward with a speed of 40 m/s40\,\text{m/s}. How long will it take for it to return, what maximum height will it reach, and what height will it be at in 2 s2\,\text{s}?

  1. (8 s; 80 m; 60 m)\left(8\,\text{s};\ 80\,\text{m};\ 60\,\text{m}\right)
  2. (4 s; 40 m; 30 m)\left(4\,\text{s};\ 40\,\text{m};\ 30\,\text{m}\right)
  3. (16 s; 160 m; 120 m)\left(16\,\text{s};\ 160\,\text{m};\ 120\,\text{m}\right)
  4. (80 s; 800 m; 600 m)\left(80\,\text{s};\ 800\,\text{m};\ 600\,\text{m}\right)
№ 7

Problem 7

Kinematics: uniform motion

The helicopter flew north 400 km400\,\text{km}, turned 90∘90^{\circ} and flew another 300 km300\,\text{km} to the east. Find the path and the moving module.

  1. (7000 km; 5000 km)\left(7000\,\text{km};\ 5000\,\text{km}\right)
  2. (700 km; 500 km)\left(700\,\text{km};\ 500\,\text{km}\right)
  3. (350 km; 250 km)\left(350\,\text{km};\ 250\,\text{km}\right)
  4. (1400 km; 1000 km)\left(1400\,\text{km};\ 1000\,\text{km}\right)
№ 8

Problem 8

Kinematics: uniform motion

A freight train left the station at a speed of 60 km/h60\,\text{km/h}. Half an hour later, an electric train left in the same direction at a speed of 90 km/h90\,\text{km/h}. How long after the train leaves and at what distance from the station will it catch up with the train?

  1. (3 ch; 180 km)\left(3\,\text{ch};\ 180\,\text{km}\right)
  2. (15 ch; 900 km)\left(15\,\text{ch};\ 900\,\text{km}\right)
  3. (1,5 ch; 90 km)\left(1{,}5\,\text{ch};\ 90\,\text{km}\right)
  4. (0,75 ch; 45 km)\left(0{,}75\,\text{ch};\ 45\,\text{km}\right)
№ 9

Problem 9

Kinematics: uniformly accelerated motion

The car slows down with an acceleration of 4 m/s24\,\text{m/s}^{2} and stops in 6 s6\,\text{s}. Determine the braking distance and initial speed. Did the driver violate the 90 km/h90\,\text{km/h} limit?

  1. (48 m; 16 m/s; net)\left(48\,\text{m};\ 16\,\text{m/s};\ \text{net}\right)
  2. (72 m; 24 m/s; da)\left(72\,\text{m};\ 24\,\text{m/s};\ \text{da}\right)
  3. (144 m; 48 m/s; da)\left(144\,\text{m};\ 48\,\text{m/s};\ \text{da}\right)
  4. (72 m; 24 m/s; net)\left(72\,\text{m};\ 24\,\text{m/s};\ \text{net}\right)
№ 10

Problem 10

Kinematics: free fall and circular motion

A body is thrown with a speed of 40 m/s40\,\text{m/s}. It is required to define the motion for a throw from a height of 45 m45\,\text{m} and from the surface of the Earth, but the direction of the initial velocity is not specified. Is there enough initial data for a definite answer?

  1. Net, napravlenie skorosti ne zadano\text{Net, napravlenie skorosti ne zadano}
  2. Da, dostatochno tolko modulya skorosti\text{Da, dostatochno tolko modulya skorosti}
  3. Net, ne zadana massa tela\text{Net, ne zadana massa tela}
  4. Da, esli prinyat massu ravnoy 1 kg\text{Da, esli prinyat massu ravnoy 1 kg}
№ 11

Problem 11

Kinematics: free fall and circular motion

The body freely falls from a height of 125 m125\,\text{m}. After how long and at what speed will it fall to Earth? Take g=10 m/s2g=10\,\text{m/s}^{2}.

  1. (50 s; 500 m/s)\left(50\,\text{s};\ 500\,\text{m/s}\right)
  2. (5 s; 50 m/s)\left(5\,\text{s};\ 50\,\text{m/s}\right)
  3. (2,5 s; 25 m/s)\left(2{,}5\,\text{s};\ 25\,\text{m/s}\right)
  4. (10 s; 100 m/s)\left(10\,\text{s};\ 100\,\text{m/s}\right)
№ 12

Problem 12

Kinematics: free fall and circular motion

A body is thrown upward with a speed of 30 m/s30\,\text{m/s}. How long will it take for it to reach a height of 40 m40\,\text{m}? Will it reach a height of 50 m50\,\text{m}?

  1. (t=3 s; 50 m nedostizhimy)\left(t=3\,\text{s};\ \text{50 m nedostizhimy}\right)
  2. (t=2 s ili 4 s; 50 m dostizhimy)\left(t=2\,\text{s}\ \text{ili}\ 4\,\text{s};\ \text{50 m dostizhimy}\right)
  3. (t=2 s ili 4 s; 50 m nedostizhimy)\left(t=2\,\text{s}\ \text{ili}\ 4\,\text{s};\ \text{50 m nedostizhimy}\right)
  4. (t=1 s ili 5 s; 50 m dostizhimy)\left(t=1\,\text{s}\ \text{ili}\ 5\,\text{s};\ \text{50 m dostizhimy}\right)
№ 13

Problem 13

Kinematics: free fall and circular motion

A body is thrown from the Earth at an angle of 60∘60^{\circ} to the horizon with a speed of 40 m/s40\,\text{m/s}. Determine the flight range and maximum lift height.

  1. (69,3 m; 30 m)\left(69{,}3\,\text{m};\ 30\,\text{m}\right)
  2. (277,2 m; 120 m)\left(277{,}2\,\text{m};\ 120\,\text{m}\right)
  3. (1386 m; 600 m)\left(1386\,\text{m};\ 600\,\text{m}\right)
  4. (138,6 m; 60 m)\left(138{,}6\,\text{m};\ 60\,\text{m}\right)
№ 14

Problem 14

Kinematics: free fall and circular motion

A body is thrown from a height of 45 m45\,\text{m} at an angle of 30∘30^{\circ} to the horizon with a speed of 40 m/s40\,\text{m/s}. At what speed will it fall to Earth?

  1. 50 m/s50\,\text{m/s}
  2. 25 m/s25\,\text{m/s}
  3. 100 m/s100\,\text{m/s}
  4. 500 m/s500\,\text{m/s}
№ 15

Problem 15

Kinematics: free fall and circular motion

The balloon rises from the Earth with an acceleration of 2 m/s22\,\text{m/s}^{2}. After 5 s5\,\text{s} a stone fell out of it. How long after separation and at what speed will the stone fall to Earth?

  1. (34,5 s; 245 m/s)\left(34{,}5\,\text{s};\ 245\,\text{m/s}\right)
  2. (3,45 s; 24,5 m/s)\left(3{,}45\,\text{s};\ 24{,}5\,\text{m/s}\right)
  3. (1,725 s; 12,25 m/s)\left(1{,}725\,\text{s};\ 12{,}25\,\text{m/s}\right)
  4. (6,9 s; 49 m/s)\left(6{,}9\,\text{s};\ 49\,\text{m/s}\right)
№ 16

Problem 16

Kinematics: free fall and circular motion

A body is thrown horizontally with a speed of 15 m/s15\,\text{m/s} and falls to the Earth after 2 s2\,\text{s}. Determine the height, flight distance and speed when falling.

  1. (40 m; 60 m; 50 m/s)\left(40\,\text{m};\ 60\,\text{m};\ 50\,\text{m/s}\right)
  2. (200 m; 300 m; 250 m/s)\left(200\,\text{m};\ 300\,\text{m};\ 250\,\text{m/s}\right)
  3. (20 m; 30 m; 25 m/s)\left(20\,\text{m};\ 30\,\text{m};\ 25\,\text{m/s}\right)
  4. (10 m; 15 m; 12,5 m/s)\left(10\,\text{m};\ 15\,\text{m};\ 12{,}5\,\text{m/s}\right)
№ 17

Problem 17

Kinematics: free fall and circular motion

A body is thrown with a speed of 30 m/s30\,\text{m/s} at an angle to the horizontal. The maximum lift height is 26,5 m26{,}5\,\text{m}. Determine the throwing angle and flight distance.

  1. (25 ∘; 44,3 m)\left(25\,^{\circ};\ 44{,}3\,\text{m}\right)
  2. (100 ∘; 177,2 m)\left(100\,^{\circ};\ 177{,}2\,\text{m}\right)
  3. (500 ∘; 886 m)\left(500\,^{\circ};\ 886\,\text{m}\right)
  4. (50 ∘; 88,6 m)\left(50\,^{\circ};\ 88{,}6\,\text{m}\right)
№ 18

Problem 18

Kinematics: free fall and circular motion

The car is moving at a speed of 90 km/h90\,\text{km/h}. Wheel diameter 60 cm60\,\text{cm}. Determine the period, frequency, angular velocity and centripetal acceleration of the extreme points of the wheel. The car stops in 5 s5\,\text{s}: find the braking distance and the number of revolutions during braking.

  1. (0,0754 s; 13,26 Gts; 83,33 rad/s; 2083 m/s2; 62,5 m; 33,2 oborotov)\left(0{,}0754\,\text{s};\ 13{,}26\,\text{Gts};\ 83{,}33\,\text{rad/s};\ 2083\,\text{m/s}^{2};\ 62{,}5\,\text{m};\ 33{,}2\,\text{oborotov}\right)
  2. (0,0377 s; 6,63 Gts; 41,665 rad/s; 1041,5 m/s2; 31,25 m; 16,6 oborotov)\left(0{,}0377\,\text{s};\ 6{,}63\,\text{Gts};\ 41{,}665\,\text{rad/s};\ 1041{,}5\,\text{m/s}^{2};\ 31{,}25\,\text{m};\ 16{,}6\,\text{oborotov}\right)
  3. (0,1508 s; 26,52 Gts; 166,66 rad/s; 4166 m/s2; 125 m; 66,4 oborotov)\left(0{,}1508\,\text{s};\ 26{,}52\,\text{Gts};\ 166{,}66\,\text{rad/s};\ 4166\,\text{m/s}^{2};\ 125\,\text{m};\ 66{,}4\,\text{oborotov}\right)
  4. (0,754 s; 132,6 Gts; 833,3 rad/s; 20830 m/s2; 625 m; 332 oborotov)\left(0{,}754\,\text{s};\ 132{,}6\,\text{Gts};\ 833{,}3\,\text{rad/s};\ 20830\,\text{m/s}^{2};\ 625\,\text{m};\ 332\,\text{oborotov}\right)
№ 19

Problem 19

Kinematics: free fall and circular motion

From what height did the body fall if during the last second of the fall it flew: a) 25 m25\,\text{m}, b) 40 m40\,\text{m}?

  1. (450 m; 1012,5 m)\left(450\,\text{m};\ 1012{,}5\,\text{m}\right)
  2. (45 m; 101,25 m)\left(45\,\text{m};\ 101{,}25\,\text{m}\right)
  3. (22,5 m; 50,625 m)\left(22{,}5\,\text{m};\ 50{,}625\,\text{m}\right)
  4. (90 m; 202,5 m)\left(90\,\text{m};\ 202{,}5\,\text{m}\right)
№ 20

Problem 20

Kinematics: uniform motion

The tourist walked 5 km5\,\text{km} to the north, then another 12 km12\,\text{km} in an unknown direction. Determine the path and possible range of the motion module.

  1. (17 km; ∣Δr∣=17 km)\left(17\,\text{km};\ |\Delta r|=17\,\text{km}\right)
  2. (7 km; ∣Δr∣=12 km)\left(7\,\text{km};\ |\Delta r|=12\,\text{km}\right)
  3. (17 km; 7 km≤∣Δr∣≤17 km)\left(17\,\text{km};\ 7\,\text{km}\leq |\Delta r|\leq17\,\text{km}\right)
  4. (12 km; 5 km≤∣Δr∣≤12 km)\left(12\,\text{km};\ 5\,\text{km}\leq |\Delta r|\leq12\,\text{km}\right)
№ 21

Problem 21

Kinematics: uniform motion

The distance between the piers is 60 km60\,\text{km}. The speed of the current is 5 km/h5\,\text{km/h}, the speed of the boat relative to the water is 15 km/h15\,\text{km/h}. How long will it take to get there and back?

  1. 4,5 ch4{,}5\,\text{ch}
  2. 18 ch18\,\text{ch}
  3. 90 ch90\,\text{ch}
  4. 9 ch9\,\text{ch}
№ 22

Problem 22

Kinematics: free fall and circular motion

A car moves around a turn with a radius of 160 m160\,\text{m}. What is its speed if the centripetal acceleration is 2,5 m/s22{,}5\,\text{m/s}^{2}?

  1. 20 m/s20\,\text{m/s}
  2. 10 m/s10\,\text{m/s}
  3. 40 m/s40\,\text{m/s}
  4. 200 m/s200\,\text{m/s}
№ 23

Problem 23

Kinematics: uniformly accelerated motion

The body has an initial speed of 10 m/s10\,\text{m/s}, then moves with uniform acceleration and passes 40 m40\,\text{m} in 5 s5\,\text{s}. Determine the acceleration.

  1. 8 m/s28\,\text{m/s}^{2}
  2. 0,8 m/s20{,}8\,\text{m/s}^{2}
  3. 0,4 m/s20{,}4\,\text{m/s}^{2}
  4. 1,6 m/s21{,}6\,\text{m/s}^{2}
№ 24

Problem 24

Kinematics: free fall and circular motion

The runner moves in a circle with a radius of 20 m20\,\text{m}. What are the path and the magnitude of displacement after 1,51{,}5 circle?

  1. (377 m; 80 m)\left(377\,\text{m};\ 80\,\text{m}\right)
  2. (1885 m; 400 m)\left(1885\,\text{m};\ 400\,\text{m}\right)
  3. (188,5 m; 40 m)\left(188{,}5\,\text{m};\ 40\,\text{m}\right)
  4. (94,25 m; 20 m)\left(94{,}25\,\text{m};\ 20\,\text{m}\right)
№ 25

Problem 25

Kinematics: uniform motion

The pedestrian walked 300 m300\,\text{m} at a speed of 1,5 m/s1{,}5\,\text{m/s}, then moved another 2 min2\,\text{min} at a speed of 2,5 m/s2{,}5\,\text{m/s}. Determine the average speed along the entire path.

  1. 0,9375 m/s0{,}9375\,\text{m/s}
  2. 3,75 m/s3{,}75\,\text{m/s}
  3. 18,75 m/s18{,}75\,\text{m/s}
  4. 1,875 m/s1{,}875\,\text{m/s}
№ 26

Problem 26

Kinematics: free fall and circular motion

The body is thrown at an angle of 60∘60^{\circ} to the horizon and rises to a height of 34 m34\,\text{m}. Determine the initial speed and flight range.

  1. (26 m/s; 78 m)\left(26\,\text{m/s};\ 78\,\text{m}\right)
  2. (13 m/s; 39 m)\left(13\,\text{m/s};\ 39\,\text{m}\right)
  3. (52 m/s; 156 m)\left(52\,\text{m/s};\ 156\,\text{m}\right)
  4. (260 m/s; 780 m)\left(260\,\text{m/s};\ 780\,\text{m}\right)
№ 27

Problem 27

Kinematics: uniform motion

How far will the plane fly in 15 min15\,\text{min} if its speed is 900 km/h900\,\text{km/h}?

  1. 2250 km2250\,\text{km}
  2. 225 km225\,\text{km}
  3. 112,5 km112{,}5\,\text{km}
  4. 450 km450\,\text{km}
№ 28

Problem 28

Kinematics: free fall and circular motion

A body is thrown horizontally from a height of 20 m20\,\text{m} and travels horizontally 30 m30\,\text{m}. Determine the speed when falling to Earth.

  1. 50 m/s50\,\text{m/s}
  2. 250 m/s250\,\text{m/s}
  3. 25 m/s25\,\text{m/s}
  4. 12,5 m/s12{,}5\,\text{m/s}
№ 29

Problem 29

Kinematics: uniformly accelerated motion

On the way 30 m30\,\text{m} the car changed speed from 72 km/h72\,\text{km/h} to 36 km/h36\,\text{km/h}. Determine the acceleration.

  1. −2,5 m/s2-2{,}5\,\text{m/s}^{2}
  2. −10 m/s2-10\,\text{m/s}^{2}
  3. −50 m/s2-50\,\text{m/s}^{2}
  4. −5 m/s2-5\,\text{m/s}^{2}
№ 30

Problem 30

Kinematics: uniformly accelerated motion

In uniformly accelerated motion with an acceleration of 1,5 m/s21{,}5\,\text{m/s}^{2}, the body passed 87 m87\,\text{m} in 6 s6\,\text{s}. What is the initial speed?

  1. 10 m/s10\,\text{m/s}
  2. 5 m/s5\,\text{m/s}
  3. 20 m/s20\,\text{m/s}
  4. 100 m/s100\,\text{m/s}
№ 31

Problem 31

Kinematics: free fall and circular motion

A body thrown at an angle of 45∘45^{\circ} to the horizon flew horizontally 22,5 m22{,}5\,\text{m}. Determine the initial speed and maximum altitude.

  1. (150 m/s; 56,25 m)\left(150\,\text{m/s};\ 56{,}25\,\text{m}\right)
  2. (15 m/s; 5,625 m)\left(15\,\text{m/s};\ 5{,}625\,\text{m}\right)
  3. (7,5 m/s; 2,8125 m)\left(7{,}5\,\text{m/s};\ 2{,}8125\,\text{m}\right)
  4. (30 m/s; 11,25 m)\left(30\,\text{m/s};\ 11{,}25\,\text{m}\right)
№ 32

Problem 32

Kinematics: free fall and circular motion

The body was thrown horizontally and fell through 4 s4\,\text{s}, flying horizontally 120 m120\,\text{m}. Determine the height, initial horizontal velocity, and falling velocity.

  1. (160 m; 60 m/s; 100 m/s)\left(160\,\text{m};\ 60\,\text{m/s};\ 100\,\text{m/s}\right)
  2. (800 m; 300 m/s; 500 m/s)\left(800\,\text{m};\ 300\,\text{m/s};\ 500\,\text{m/s}\right)
  3. (80 m; 30 m/s; 50 m/s)\left(80\,\text{m};\ 30\,\text{m/s};\ 50\,\text{m/s}\right)
  4. (40 m; 15 m/s; 25 m/s)\left(40\,\text{m};\ 15\,\text{m/s};\ 25\,\text{m/s}\right)
№ 33

Problem 33

Kinematics: free fall and circular motion

A body thrown at an angle of 45∘45^{\circ} to the horizon fell to the Earth after 5 s5\,\text{s}. Determine the initial speed, flight range and maximum altitude.

  1. (17,68 m/s; 62,5 m; 15,625 m)\left(17{,}68\,\text{m/s};\ 62{,}5\,\text{m};\ 15{,}625\,\text{m}\right)
  2. (70,72 m/s; 250 m; 62,5 m)\left(70{,}72\,\text{m/s};\ 250\,\text{m};\ 62{,}5\,\text{m}\right)
  3. (353,6 m/s; 1250 m; 312,5 m)\left(353{,}6\,\text{m/s};\ 1250\,\text{m};\ 312{,}5\,\text{m}\right)
  4. (35,36 m/s; 125 m; 31,25 m)\left(35{,}36\,\text{m/s};\ 125\,\text{m};\ 31{,}25\,\text{m}\right)
№ 34

Problem 34

Kinematics: uniformly accelerated motion

The body has an initial velocity of 10 m/s10\,\text{m/s} and an acceleration of 0,5 m/s20{,}5\,\text{m/s}^{2}. How long will it take for it to pass 44 m44\,\text{m}?

  1. 4 s4\,\text{s}
  2. 2 s2\,\text{s}
  3. 8 s8\,\text{s}
  4. 40 s40\,\text{s}

THEORY

Lessons on the topic

Speed and uniform movementPath, time, speed, average speed and addition of movements.Uniformly accelerated motionAcceleration, speed and displacement under constant acceleration.Free fall and circular motionFall without resistance and kinematics of uniform rotation.

DIRECTORY

Formulas by topic

PeriodT · withSpeedv · m/sAngular velocityω · rad/sAccelerationa · m/s²Frequencyν · Hz