Identify the quantity as a scalar or as a vector. Explain your reasoning. (a) The air

Chapter 10, Problem 62

(choose chapter or problem)

Path of a Projectile  If the projectile in Exercise 61 is launched at an angle \(\theta\) with the horizontal, its parametric equations are

\(x=(90 \cos \theta)t\ \text{and}\ y=(90 \sin \theta)t-16t^2\).

Use a graphing utility to find the angle that maximizes the range of the projectile. What angle maximizes the arc length of the trajectory?

Text Transcription:

theta

x=(90 cos theta)t and y=(90 sin theta)t-16t^2

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