A catapult launches a boulder with an upward velocity of 122 feet per second. The height of the boulder, (h), in feet after t seconds is given by the function h of t equals negative 16t squared plus 122t plus 10 . 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.

(1 point)
Responses

Reaches a maximum height of 15.42 feet after 7.71 seconds.
Reaches a maximum height of 15.42 feet after 7.71 seconds.

Reaches a maximum height of 7.71 feet after 3.81 seconds.
Reaches a maximum height of 7.71 feet after 3.81 seconds.

Reaches a maximum height of 242.56 feet after 7.62 seconds.
Reaches a maximum height of 242.56 feet after 7.62 seconds.

Reaches a maximum height of 242.56 feet after 3.81 seconds.
Reaches a maximum height of 242.56 feet after 3.81 seconds.
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Reaches a maximum height of 242.56 feet after 3.81 seconds.