Inverses and Radical Functions · Exercise 66

Determine the function described and then use it to answer the question.

An object dropped from a height of 200 meters has a height, $h\left(t\right),$ in meters after $t$ seconds have lapsed, such that $h\left(t\right)=200-4.9t^2.$ Express $t$ as a function of height, $h,$ and find the time to reach a height of 50 meters.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §5.7 Inverses and Radical Functions · Exercise 66