Question

An object falls from a hovering helicopter and hits the ground at a speed of 30m per seconds. how long does it take the object to reach the ground and how far does it fall? sketch a velocity-time graph for the object ( ignore air resistance

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Answer 1

45.9m

Step-by-step explanation:

Given parameters:

Final velocity = 30m/s

Initial velocity = 0m/s

Unknown:

Time it takes for the object of fall = ?

Height of fall = ?

Solution:

For the first problem, we use the equation below to solve for t;

V = U + gt

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

t is the time taken

30 = 0 + 9.8 x t

30 = 9.8t

t =
`(30)/(9.8)` = 3.1s

Now, height of fall;

V² = U² + 2gH

30² = 0² + 2 x 9.8 x H

900 = 19.6H

H = 45.9m