A projectile launched from the ground with an initial speed of 20 m s and a launch angle u follows a trajectory approximated by x (20 cos )t, y 4 9t 2 (20 sin )t, where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0, 0) a Graph the trajectory for...

a n 5 10 15 20 25 30 35 X 0 6 5 ...

A projectile launched from the ground with an initial speed of 20 m/s and a launch angle

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A projectile launched from the ground with an initial speed of 20 m/s and a launch angle u follows a trajectory approximated by

x = (20 cos θ)t, y = -4.9t² + (20 sin θ)t,

where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0, 0).

a. Graph the trajectory for various values of u in the range 0 < θ < π/2.

b. Based on your observations, what value of θ gives the greatest range (the horizontal distance between the launch and landing points)?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 11:03 AM

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A projectile launched from the ground with an initial speed of 20 m/s and a launch angle

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