A ball is projected horizontally from the top of a vertical cliff 40m high at a volocity of 20ms calculate the time taken ,the vertical component of velocity on getting to the ground

Answer 1

First, calculate the time taken for the ball to reach the ground.

The vertical motion equation for an object in free fall is:
h = (1/2)gt^2
where
h = height of the cliff = 40m
g = acceleration due to gravity = 9.81 m/s^2
t = time taken

Substitute the known values:
40 = (1/2)(9.81)(t)^2
80 = 9.81(t)^2
t^2 = 80/9.81
t ≈ √(80/9.81)
t ≈ √8.16
t ≈ 2.86 seconds

Now, calculate the vertical component of velocity when the ball reaches the ground.

The vertical velocity of an object in free fall can be calculated using the equation:
v = gt
where
v = vertical velocity
g = acceleration due to gravity = 9.81 m/s^2
t = time taken = 2.86 seconds

Substitute the values:
v = 9.81 * 2.86
v ≈ 28.05 m/s

Therefore, the time taken for the ball to reach the ground is approximately 2.86 seconds and the vertical component of velocity when it reaches the ground is approximately 28.05 m/s.