Acatapult launches a boulder with an upward velocity of 92 m/s. the height of the boulder, h, in meters after t seconds is given by the function h = –5t2+ 92t + 16. how long does it take to reach maximum height? what is the boulder’s maximum height? round to the nearest hundredth, if necessary. a. reaches a maximum height of 16.00 meters in 18.4 seconds. b. reaches a maximum height of 18.57 meters in 9.2 seconds. c. reaches a maximum height of 37.14 meters in 18.4 seconds. d. reaches a maximum height of 439.20 meters in 9.2 seconds.

D. Reaches a maximum height of 439.20 meters in 9.2 seconds.

Explanation:

Given

h = –5t²+ 92t + 16

then

h' = 0  when the boulder reaches its maximum height

(–5t²+ 92t + 16)' = - 10t + 92 = 0

⇒ t = 92/10

⇒ t = 9.2 s

the maximum height will be

h = –5(9.2)²+ 92(9.2) + 16

h = 439.20 m

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation:

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