Question

. An object dropped from a height of 200 meters has a height, h(t), in meters after t seconds have lapsed, such that h(t) = 200 – 4.9t2. Express t as a function of height, h, and find the time to reach a height of 50 meters.

Answer 1

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Explanation:

To express t as a function of height (h) we must transform the equation below:

h=200-4.9t

h-200=-4.9t

(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

t(h)=50-200/-4.9

t(h)= 30.612

The time to reach a height of 50 meters is 30.6 seconds