Worksheet 3.8 Related Rates - Calculus Maximus printable pdf download

Worksheet 3.8 Related Rates - Calculus Maximus

Calculus Maximus

WS 3.8: Related Rates

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Worksheet 3.8—Related Rates

Show all work. Calculator permitted. Show all set-ups and analysis. Report all answers to 3 decimals and

avoid intermediate rounding error.

Multiple Choice

1. A circle of radius r has area A and circumference C. If r varies with time t, for what value of r is the

rate of change of A with respect to t twice the rate of change of C with respect to t?



(A) 1

(B) 2

(D)

(E)

(F)

2. A street light is on top of a 10 foot pole. Mr. Korpi’s dad, who is 6 feet tall, walks

away from the pole at a rate of 4 feet per second. At what speed is the tip of Mr.

Korpi Sr.’s shadow moving from the base of the pole when he is 10 feet from the

pole?

(A) 9 ft/sec

(B) 10 ft/sec (C) 11 ft/sec (D) 12 ft/sec (E) 8 ft/sec

3. A baseball diamond is a square with side 90 feet. If a batter hits the ball and runs towards first base with

a speed of 25 ft/sec, at what speed is his distance from second base decreasing when he is

two thirds of the way to first base?

(A)

10 ft/sec

(B)

10 ft/sec

(E) 3 5 ft/sec

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Worksheet 3.8 Related Rates - Calculus Maximus