Question

With no air resistance, the time, t, it takes an object to fall h feet, can be determined by the equation t = square root of h/4. What is the height when the time to reach the ground is 25 seconds?

Answer 1

10,000 ft

Explanation:

We can solve the given relation for h:

`t=(√(h))/(4)\\\\4t=√(h)\\\\h=16t^2`

Putting t=25 into this formula, we get ...

h = 16(25²) = 10,000

With no air resistance the object will take 25 seconds to fall from 10,000 feet.