A catapult launches a boulder with an upward velocity

By Allen Kazadi

A catapult launches a boulder with an upward velocity of 184 feet per second. The height of the boulder, h, in feet after t seconds is given by the function h(t) = –16t² + 184t + 20. What is the boulder’s maximum height? How long does it take the boulder to reach its maximum height? Round to the nearest hundredth, if necessary.

A. Reaches a maximum height of 11.6 feet after 5.75 seconds.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.

Answer:

B. Reaches a maximum height of 549 feet after 11.5 seconds.

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