A skydiver equipped with parachute and other essential equipment falls from rest toward the earth. The total weight of the man plus the equipment is 160 lb. Before the parachute opens, the air resistance (in pounds) is numerically equal to v, where v is the velocity (in feet per second). The parachute opens 5 sec after the fall begins; after it opens, the air resistance (in pounds) is numerically equal to v?, where v is the velocity (in feet per second). Find the velocity of the skydiver (A) before the parachute opens, and (B) after the parachute opens.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Application of First Order Equation

A skydiver equipped with parachute and other essential equipment falls from rest
toward the earth. The total weight of the man plus the equipment is 160 lb. Before the
parachute opens, the air resistance (in pounds) is numerically equal to v, where v is the
velocity (in feet per second). The parachute opens 5 sec after the fall begins; after it
opens, the air resistance (in pounds) is numerically equal to u?, where v is the velocity
(in feet per second). Find the velocity of the skydiver (A) before the parachute opens,
and (B) after the parachute opens.
Transcribed Image Text:A skydiver equipped with parachute and other essential equipment falls from rest toward the earth. The total weight of the man plus the equipment is 160 lb. Before the parachute opens, the air resistance (in pounds) is numerically equal to v, where v is the velocity (in feet per second). The parachute opens 5 sec after the fall begins; after it opens, the air resistance (in pounds) is numerically equal to u?, where v is the velocity (in feet per second). Find the velocity of the skydiver (A) before the parachute opens, and (B) after the parachute opens.
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