Answered: Problem: Car B is traveling a distance…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem: Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s^2. It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, he decelerates at 20 ft/s^2. (Figure 1_

Question: Determine the minimum distance d between the cars so as to avoid a collision.

Express your answer to three significant figures and include the appropriate units.

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Given details

$V e l o c i t y o f c a r B, V_{B} = 60 f t / s V e l o c i t y o f c a r A, V_{A} = 60 f t / s D e c e l e r a t i o n o f c a r B, a_{B_{}} = 12 f t / s^{2} R e a c t i o n t i m e o f d r i v e r i n c a r A, t_{r} = 0.75 s e c D e c e l e r a t i o n r a t e o f c a r A, a_{A} = 20 f t / s^{2}$

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