Question

An accelerating train is passing over a high bridge. A stone is dropped from the train at an instant when Its speed is 10 ms^-1 and acceleration is 1ms^-2 . Find the horizontal and vertical components of the velocity and acceleration of the stone one second after it is dropped. Take g = 10 ms^-2 .

Answer 1

Horizontal acceleration = 0 (because there is no force acting on the stone in the horizontal direction to provide any acceleration) Horizontal velocity = 10 ms^-1.

Vertical acceleration = g = 10 ms^-2.

Vertical velocity = ut + \(\frac {1}{2} \) gt²

= 0(1) + \(\frac {1}{2}\) (10)(1)²

= 5 ms^-1.