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)=-16t^2+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.

Question

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)=-16t^2+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.

anonymous · Answer

Please tell me the answer and how you got it! Thanks :)