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.

A car moving along a straight highway with speed of 126 km h^-1 to brought to stop within a distance of 200 m. What is the retardation of the car and how long does it take for the car to stop?