A projectile is launched so that its velocity in feet per second at t seconds is given by the parametric equations x '(t) = 62cos(0.26) and y '(t) = 62sin(0.26) - 9.8t. Part A: At what time does the projectile reach its maximum height? Justify your answer. Part B: Show that the path of the projectile is concave down. Part C: Determine the distance traveled by the projectile after 2 seconds.

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Author:Charles P. McKeague, Mark D. Turner
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Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
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A projectile is launched so that its velocity in feet per second at t seconds is given by the parametric equations x '(t) = 62cos(0.26) and y '(t) = 62sin(0.26) – 9.8t.
Part A: At what time does the projectile reach its maximum height? Justify your answer.
Part B: Show that the path of the projectile is concave down.
Part C: Determine the distance traveled by the projectile after 2 seconds.
Transcribed Image Text:A projectile is launched so that its velocity in feet per second at t seconds is given by the parametric equations x '(t) = 62cos(0.26) and y '(t) = 62sin(0.26) – 9.8t. Part A: At what time does the projectile reach its maximum height? Justify your answer. Part B: Show that the path of the projectile is concave down. Part C: Determine the distance traveled by the projectile after 2 seconds.
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