A drag car starts from rest and starts down the racetrack with an acceleration defined by a = 50 – 10t , where a and t are in m/s² and s, respectively. After reaching a speed of 125 m/s, a parachute is deployed to help slow down the dragster. Knowing that this deceleration is defined by the relationship a = - 0.02v?, where v is the velocity in m/s, determine (a) the total time from the beginning of the race until the car slows back down to 10 m/s, (b) the total distance the car travels during this time. %3D

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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A drag car starts from rest and starts down the racetrack with an acceleration
defined by a = 50 – 10t , where a and t are in m/s² and s, respectively. After
reaching a speed of 125 m/s, a parachute is deployed to help slow down the
dragster. Knowing that this deceleration is defined by the relationship a =
- 0.02v?, where v is the velocity in m/s, determine (a) the total time from the
beginning of the race until the car slows back down to 10 m/s, (b) the total
distance the car travels during this time.
%3D
Transcribed Image Text:A drag car starts from rest and starts down the racetrack with an acceleration defined by a = 50 – 10t , where a and t are in m/s² and s, respectively. After reaching a speed of 125 m/s, a parachute is deployed to help slow down the dragster. Knowing that this deceleration is defined by the relationship a = - 0.02v?, where v is the velocity in m/s, determine (a) the total time from the beginning of the race until the car slows back down to 10 m/s, (b) the total distance the car travels during this time. %3D
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