Question
Please help !
1.)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 givin by the function h(t)=-16t^2+122t+10. what is the boulders maximum height ? and 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 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.
2.)a ball is thrown with a upward velocity of 28 ft/s. its height h, in feet after t seconds is given by the function h=-16t^2+28t+7. what is the balls maximum height how long does it take the ball to reach maximum height ? round to the nearest hundredth if needed.
a.)reaches a maximum height of 7 feet after 1.75 seconds
b.) reaches a maximum height of 43.75 feet after 0.88 seconds
c.)reaches a maximum height of 17.5 feet after 0.88 seconds
d.)reaches a maximum height of 19.25 feet after 0.88 seconds
1.)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 givin by the function h(t)=-16t^2+122t+10. what is the boulders maximum height ? and 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 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.
2.)a ball is thrown with a upward velocity of 28 ft/s. its height h, in feet after t seconds is given by the function h=-16t^2+28t+7. what is the balls maximum height how long does it take the ball to reach maximum height ? round to the nearest hundredth if needed.
a.)reaches a maximum height of 7 feet after 1.75 seconds
b.) reaches a maximum height of 43.75 feet after 0.88 seconds
c.)reaches a maximum height of 17.5 feet after 0.88 seconds
d.)reaches a maximum height of 19.25 feet after 0.88 seconds
Answers
Steve
Remember your Algebra I. The max height is represented by the vertex of the parabola. As with all quadratics, the vertex is at t = -b/2a. So, for
#1: t = -122/-32 = 3.8125 seconds
use the same logic on #2.
#1: t = -122/-32 = 3.8125 seconds
use the same logic on #2.
Anonymous
Number 2 is D. yw :)
sup
the answer for #1 is "reaches a maximum height of 242.56 feet after 3.81 seconds." 2022
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