Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
**Section 3.6:** 1. Let \( f(t) = 24t - 4t^2 \) for \( 0 \le t \le 8 \) be the position function of an object moving horizontally along a line after \( t \) seconds. **a)** Graph the position function. **b)** Find and graph the velocity function. When is the object stationary? Moving to the right? Moving to the left? **c)** Determine the velocity and acceleration of the object at \( t = 3 \). **d)** Determine the acceleration of the object when the velocity is zero. **e)** On what intervals is the speed increasing?
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Transcribed Image Text:**Section 3.6:** 1. Let \( f(t) = 24t - 4t^2 \) for \( 0 \le t \le 8 \) be the position function of an object moving horizontally along a line after \( t \) seconds. **a)** Graph the position function. **b)** Find and graph the velocity function. When is the object stationary? Moving to the right? Moving to the left? **c)** Determine the velocity and acceleration of the object at \( t = 3 \). **d)** Determine the acceleration of the object when the velocity is zero. **e)** On what intervals is the speed increasing?
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