Projectile Motion A projectile is launched with an initial velocity of 120 feet per

Chapter 12, Problem 81

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Projectile Motion A projectile is launched with an initial velocity of 120 feet per second at a height of 5 feet and at an angle of \(30^{\circ}\) with the horizontal.

(a) Determine the vector-valued function for the path of the projectile.

(b) Use a graphing utility to graph the path and approximate the maximum height and range of the projectile.

(c) Find v(t), ||v(t)||, and a(t)

(d) Use a graphing utility to complete the table.

(e) Use a graphing utility to graph the scalar functions \(a_{T}\) and \(a_{N}\) How is the speed of the projectile changing when \(a_{T}\) and \(a_{N}\) have opposite signs?

Text Transcription:

a_T

a_N

30^circ

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