DeepRelated rates

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.2 Implicit Differentiation and Related Rates, #26 · Calculus · Related rates

*(b) At that instant the distance … between them is changing at…

This problem is applications of related rates.

A pass receiver is at $x = 4$ , $y = 8 t$ . The ball thrown at $t = 3$ is at $x = c (t - 3)$ , $y = 10 c (t - 3)$ .

(a) Choose $c$ so the ball meets the receiver.

*(b) At that instant the distance $D$ between them is changing at what rate?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.2 Implicit Differentiation and Related Rates, #26

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