Draw velocity - time graphs for motion in (a) positive direction with positive acceleration (b) negative direction with negative acceleration.

Find the velocity of the particle for the time interval t = 5 to t = 10 s from the following graph.

The displacement (in metre) of a particle moving along x - axis given by
x = 20t + 10t² . Calculate the instantaneous velocity at t = 2s.

A ball is thrown vertically upward and it reaches a height of 90 m. Find the velocity with which it was thrown.

Define relative velocity with an example.

A car travels with a uniform velocity of 20 ms⁻¹ . The driver applies the brakes and the car comes to rest in 10 second. Calculate the retardation.

What is the velocity - time graph?

Show that area under velocity - time graph is equal to displacement.

What is the significance of velocity - time graph?

Derive the equations of motion (i) $v= v_0 + at$ and (ii) $v^2 = v_0^2 +2ax$ from v - t graph.

Derive the equations of motion (i) $v= v_0 + at$ and (ii) $v^2 = v_0^2 +2ax$ from v - t graph.