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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 x 2 equals negative 16t ^ 2 + 122 t + 10 how long does it take the boulder to reach maximum height what is the boulders maximum height ? how long does it take the boulder to reach its height ? round to the nearest hundredth, if necessary.

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

b. reaches a maximum height of 7.71 feet after 3.81 seconds

c. reaches a maximum height of 242.56 feet after 7.62 seconds

d. reaches a maximum height of 242.56 feet after 3.81 seconds