10TH GRADE · KINEMATICS

Uniformly accelerated motion

Acceleration, speed and displacement under constant acceleration.

22 minutes9 theory cards

LESSON MATERIAL

Basic Concepts

Movement with constant acceleration.

Over equal time intervals, the speed changes by the same amount; The graph of speed versus time is straight.

LESSON MATERIAL

a

Speed of change of speed.

Unit: meters per second squared · $\frac{\mathrm{m}}{\mathrm{s}^2}$

v_0

The speed of the body at the initial moment.

Unit: meter per second · $\frac{\mathrm{m}}{\mathrm{s}}$

LESSON MATERIAL

a=\frac{\lvert v-v_0\rvert}{t}

The acceleration modulus is equal to the change in speed divided by time.

[a]=1\,\frac{\mathrm{m}}{\mathrm{s}^2}

Acceleration is measured in meters per second per second.

v=v_0\pm at

The final speed is determined by the initial speed and the change in speed over time.

S=\frac{v_0+v}{2}t

Displacement is equal to average speed times time.

S=v_0t\pm\frac{at^2}{2}

The displacement consists of the initial movement and the addition of acceleration.

S=\frac{v^2-v_0^2}{\pm2a}

Displacement relates initial and final velocities to acceleration.

PRACTICE