Car A is moving to the right at 0.5m/s. Meanwhile, Car B, which is 6 meters to the right of car A is moving to the left at 0.25m/s. Looks like they’re going to have a head-on collision. Predict the location of the collision

Car A is moving to the right at 0.5m/s. Meanwhile, Car B, which is 6 meters to the right of car A is moving to the left at 0.25m/s. Looks like they’re going to have a head-on collision. Predict the location of the collision

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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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Car A is moving to the right at 0.5m/s. Meanwhile, Car B, which is 6 meters to the right of car A

is moving to the left at 0.25m/s. Looks like they’re going to have a head-on collision. Predict the location of the collision.

Expert Solution

Step 1

$Velocity of car A = 0.5 \frac{m}{s} t o w a r d s r i g h t Velocity of car B = 0.25 \frac{m}{s} t o w a r d s l e f t Distance between both the cars (d) = 6 m Since both the cars are moving in opposite directions, therefore relative velocity = 0.5 + 0.25 = 0.75 \frac{m}{s}$

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