The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

A sky diver jumps from a helicopter and is falling straight down at 30 m/s when her parachute opens. From then on, her downward acceleration is approximately a = g – cv2, where g = 9.81 m/s2 and c is a constant. After an initial “transient” period, she descends at a nearly constant velocity of 5 m/s.

(a) What is the value of c, and what are its SI units?

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(b) What maximum deceleration is the sky diver subjected to?

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(c) What is her downward velocity when she has fallen 2 m from the point at which her parachute opens?