Problem

Gravity on Earth If a rock falls from a height of 100 meters on Earth, the height H (in me...

Gravity on Earth If a rock falls from a height of 100 meters on Earth, the height H (in meters) after t seconds is approximately

H(t) = 100 -4.9 t2

(a) In general, quadratic functions are not one-to-one. However, the function H(t) is one-to-one. Why?


(b) Find the inverse of H and verify your result.


(c) How long will it take a rock to fall 80 meters?

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