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Mathematics, 07.01.2020 08:31 pattydixon6

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1. a model rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = –0.04x2 + 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land?
a. 208.02 m
b. 416.30 m
c. 0.52 m
d. 208.19 m

2. a catapult launches a boulder with an upward velocity of 184 ft/s. the height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. how long does it take the boulder to reach its maximum height? what is the boulder's maximum height.
a. reaches a maximum height of 11.6 feet after 5.75 seconded.
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.

3. a ball is thrown into the air with an upward velocity of 32 ft/s. its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. how long does it take the ball to reach its maximum height? what is the ball’s maximum height? round to the nearest hundredth, if necessary.
a. reaches a maximum height of 22 feet after 1.00 second.
b. reaches a maximum height of 22 feet after 2.00 seconds.
c. reaches a maximum height of 44 feet after 2.17 seconds.
d. reaches a maximum height of 11 feet after 2.17 seconds.

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