Question

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function

h= -16t^2+112t+30.
How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.

A. 7 s; 30 ft

B. 3.5 s; 366 ft

C. 3.5 s; 618 ft

D. 3.5 s; 226 ft

A, B, C, or D? Please explain :)

Answer 1

D (see attached for explanation)

Answer 2

Thanks a bunch

Answer 3

Np