A ball is dropped from a height. If it takes 0.200 s to cross the last 600 m before hitting the ground, find the height from which it was dropped. Take g = 10 m/s 2 .

Question

Philoid · Accepted Answer

Given:
Distance travelled by the ball in 0.200 seconds = 6 m
Let:
Time, t = 0.200 s
Distance, s = 6 m
a = g = 10 m/s² (Acceleration due to gravity).

Using the equation of motion, we get:

Let h be the height from which the ball is dropped.
We have:
u = 0 and v = 29 m/s
Now,

⇒

∴ Total height = 42.05 + 6 = 48.05 m ≈ 48 m

A ball is dropped from a height. If it takes 0.200 s to cross the last 600 m before hitting the ground, find the height from which it was dropped. Take g = 10 m/s2.

A ball is dropped from a height. If it takes 0.200 s to cross the last 600 m before hitting the ground, find the height from which it was dropped. Take g = 10 m/s².