A ball is thrown upward in the air, and its height above the ground after seconds is...

Question

A ball is thrown upward in the air, and its height above the ground after t seconds is

H(t) = 85 ⋅ t - 16t² feet

Find the time t when the ball will be traveling upward at 42.5 feet per second.

Give your answer as a decimal approximation with at least 3 decimal places.

t= _____ seconds

Answer 1

v(t) = H'(t) = 85 - 32t = 42.5; t = 42.5/32 = 1.328 s