Question 6 (7 points) A rocket is fired from the roof of a 50 ft. tall building as shown in the figure below. The height of the rocket from the ground is given by: y(t) = 150t - 16.1t^2 + 50 Find the approximate time required to reach the maximum height as well as the corresponding approximate height from the ground, y_max t = 2.69 s and y_max = 201.56 ft t = 3.69 s and y_max = 301.56 ft t = 4.69 s and y_max = 401.56 ft t = 5.69 s and y_max = 501.56 ft
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To do this, we can find the critical points of the height function y(t) by taking its derivative and setting it equal to 0. Show more…
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6. A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels from the ground after t seconds is given by s(t) = -16t² + 560t. a. Find v(t) and a(t) (4 points) b. Find the velocity of the rocket 3 seconds after being fired. (2 points) c. Find the acceleration of the rocket 3 seconds after being fired. (2 points) d. Find the time it takes for the rocket to reach maximum height. (4 points) e. At 60 seconds will the rocket still be in flight? Please explain your answer. A simple "yes" or "no" will earn you zero points. (2 points)
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