Question

A ball is thrown upward in the air, and its height above the ground after t seconds is H ( t ) = 57 t − 16 t 2 feet. Find the time t when the ball will be traveling upward at 14.25 feet per second.

Answer 1

1.34 seconds

Step-by-step explanation:

h(t) = 57t - 16t²

Velocity is the derivative of position with respect to time:

v(t) = dh/dt

v(t) = 57 - 32t

When v = 14.25:

14.25 = 57 - 32t

32t = 42.75

t = 1.34