Suppose a particular plane needs to attain a speed of k feet per second in order to take off. The plane can attain that speed in 30 seconds. Assume acceleration is constant, v(0) = 0, and s(0)=0 when answering the questions below. Use lower case k (a) Find formulas for acceleration, velocity, and position of the plane. Your answers will have k in it. a(t) = v(t) = s(t) = -Select- Select... --Select- V v (b) If the plane accelerates to k feet per second in 30 seconds, how far will it travel in that time? Your answer will have k in it. feet (c) If a runway is 3000 feet long and the plane uses the entire runway to take off, what is the value of k? k=

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Suppose a particular plane needs to attain a speed of k feet per second in order to take off. The plane can attain that speed in 30 seconds. Assume acceleration is constant, v(0) = 0, and s(0) = 0 when answering the questions below. Use lower case k.
(a) Find formulas for acceleration, velocity, and position of the plane. Your answers will have k in it.
a(t)
=
v(t) =
s(t) =
---Select---
---Select---
---Select---
(b) If the plane accelerates to k feet per second in 30 seconds, how far will it travel in that time? Your answer will have k in it.
feet
(c) If a runway is 3000 feet long and the plane uses the entire runway to take off, what is the value of k?
k =
Transcribed Image Text:Suppose a particular plane needs to attain a speed of k feet per second in order to take off. The plane can attain that speed in 30 seconds. Assume acceleration is constant, v(0) = 0, and s(0) = 0 when answering the questions below. Use lower case k. (a) Find formulas for acceleration, velocity, and position of the plane. Your answers will have k in it. a(t) = v(t) = s(t) = ---Select--- ---Select--- ---Select--- (b) If the plane accelerates to k feet per second in 30 seconds, how far will it travel in that time? Your answer will have k in it. feet (c) If a runway is 3000 feet long and the plane uses the entire runway to take off, what is the value of k? k =
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