Particle Motion

The position of the ball is governed by the equation for free fall:

h%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%20T%5E2

Where

g

is the acceleration due to gravity and

T

is the time it takes for the ball to reach the ground. We are asked to find the position of the ball above the ground after

T%2F5

seconds. The distance traveled by the ball after

T%2F5

seconds is:

h'%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%20%5Cleft(%20%5Cfrac%7BT%7D%7B5%7D%20%5Cright)%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%20%5Cfrac%7BT%5E2%7D%7B25%7D

Thus, the height above the ground at

T%2F5

seconds is:

%5Ctext%7BHeight%20above%20the%20ground%7D%20%3D%20h%20-%20%5Cfrac%7Bh%7D%7B25%7D%20%3D%20%5Cfrac%7B24h%7D%7B25%7D

Therefore, the correct answer is

%5Cfrac%7B24h%7D%7B25%7D%20%5C%2C%20%5Ctext%7Bm%7D

Chapter Questions
1 MCQs