13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5. before the parachute opens) is s = 160(t – 1 + e¯4 a. Determine the velocity, v, at time t. b. Show that acceleration is given by a = 10 - v c. Determine v, = lim v. This is the "terminal" velocity, the constant velocity attained when the air resistance balances the force of gravity. d. At what time is the velocity 95% of the terminal velocity? How far has the skydiver fallen at that time?
13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5. before the parachute opens) is s = 160(t – 1 + e¯4 a. Determine the velocity, v, at time t. b. Show that acceleration is given by a = 10 - v c. Determine v, = lim v. This is the "terminal" velocity, the constant velocity attained when the air resistance balances the force of gravity. d. At what time is the velocity 95% of the terminal velocity? How far has the skydiver fallen at that time?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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![13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and
160(:1 – 1 + e-5.
before the parachute opens) is s =
160(t – 1 + e¯4
a. Determine the velocity, v, at time t.
b. Show that acceleration is given by a =
10 - iv
c. Determine v, = lim v. This is the “terminal" velocity, the constant velocity
attained when the air resistance balances the force of gravity.
d. At what time is the velocity 95% of the terminal velocity? How far has the
skydiver fallen at that time?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c971627-571c-4ae6-b412-bd4c411a1999%2F2d7179ea-aa3d-4b46-96f7-e2039a26679c%2F7y4r24r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and
160(:1 – 1 + e-5.
before the parachute opens) is s =
160(t – 1 + e¯4
a. Determine the velocity, v, at time t.
b. Show that acceleration is given by a =
10 - iv
c. Determine v, = lim v. This is the “terminal" velocity, the constant velocity
attained when the air resistance balances the force of gravity.
d. At what time is the velocity 95% of the terminal velocity? How far has the
skydiver fallen at that time?
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