Problem 1. You are driving at 31.0 m/s when the truck ahead of you comes to a halt 200.0 m away your bumper. Your brakes are in poor condition and you decelerate at a constant rate of 2.5 m/s. (a) How close do you come to the bumper of the truck? (b) How long does it take you to come to a stop? (c) Graph v versus t for the motion. from

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1. You are driving at 31.0 m/s when the truck ahead of you comes to a halt 200.0 m away from
your bumper. Your brakes are in poor condition and you decelerate at a constant rate of 2.5 m/s.
(a) How close do you come to the bumper of the truck?
(b) How long does it take you to come to a stop?
(c) Graph v versus t for the motion.
Transcribed Image Text:Problem 1. You are driving at 31.0 m/s when the truck ahead of you comes to a halt 200.0 m away from your bumper. Your brakes are in poor condition and you decelerate at a constant rate of 2.5 m/s. (a) How close do you come to the bumper of the truck? (b) How long does it take you to come to a stop? (c) Graph v versus t for the motion.
Expert Solution
Step 1 Distance from the bumper of truck

Equations of kinematics are as follow:

v2=u2+2ad                                                                              1)v=u+at                                                                                    2)where,v=final velocityu=initial velocitya=accelerationt=timed=distance 

Values given in the question are as follow:

d=200 mv=31msa=-2.5 ms2

Distance traveled by your vehicle before comes at rest,

Substitute known values in equation-1):

0=31ms2+2×-2.5ms2×d1d1=9615 md1=192.2 m

Distance between you and truck when your vehicle comes to rest,

s=200-192.2s=7.8 m

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