66. Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied. (a) How far has the car moved when its speed has been reduced to 30 miles per hour? (b) How far has the car moved when its speed has been reduced to 15 miles per hour? (c) Draw the real number line from 0 to 132. Plot the points found in parts (a) and (b). What can you conclude? Copyright 2013 Cengage Learning All Rights Reserved. May not be cop and uro o

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.8: Applications Of Vector Spaces
Problem 39E
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#66
acceleration at time t > 0 is given by a(t)
t 0, its position is x = 3.
= cos t. At the time
(a) Find the velocity and position functions for the particle.
(b) Find the values of t for which the particle is at rest.
65. Acceleration The maker of an automobile advertises that
it takes 13 seconds to accelerate om 25 kilometers per hour
to 80 kilometers per hour. Assume the acceleration is constant,
(a) Find the acceleration in meters per second per second.
(b) Find the distance the car travels during the 13 seconds.
66. Deceleration A car traveling at 45 miles per hour is brought
to a stop, at constant deceleration, 132 feet from where the
brakes are applied.
(a) How far has the car moved when its speed has been
reduced to 30 miles per hour?
I
(b) How far has the car moved when its speed has been
reduced to 15 miles per hour?
(c) Draw the real number line from 0 to 132. Plot the points
found in parts (a) and (b). What can you conclude?
Copynight 2013 Cengage Learning. All Rights Reserved. May not he copsed, ed.ordupiced, n wholeorin pan. Due
Lditonal review has deemed that any suppre ssed content does not materially affect the overal leaming experience Cengage lcarnir
Transcribed Image Text:acceleration at time t > 0 is given by a(t) t 0, its position is x = 3. = cos t. At the time (a) Find the velocity and position functions for the particle. (b) Find the values of t for which the particle is at rest. 65. Acceleration The maker of an automobile advertises that it takes 13 seconds to accelerate om 25 kilometers per hour to 80 kilometers per hour. Assume the acceleration is constant, (a) Find the acceleration in meters per second per second. (b) Find the distance the car travels during the 13 seconds. 66. Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied. (a) How far has the car moved when its speed has been reduced to 30 miles per hour? I (b) How far has the car moved when its speed has been reduced to 15 miles per hour? (c) Draw the real number line from 0 to 132. Plot the points found in parts (a) and (b). What can you conclude? Copynight 2013 Cengage Learning. All Rights Reserved. May not he copsed, ed.ordupiced, n wholeorin pan. Due Lditonal review has deemed that any suppre ssed content does not materially affect the overal leaming experience Cengage lcarnir
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