 Teresa Manning

2023-02-28

Two cars travel along a level straight highway. It is observed that the separation between the cars is increasing. Which one of the following statement(s) concerning this situation is necessarily true?
A.Velocity of both the cars is increasing.
B.The front car has greater acceleration.
C.Both the cars may have same acceleration.
D.The rear car has smaller acceleration. drecha122

Even though the cars' accelerations are equal, their velocities may differ. As long as the velocity of the first car is more than the velocity of the rear car, the distance will increase.The explanation for incorrect options:
Option A:
For the distance between both cars to increase, the velocity of each car need not necessarily increase. The velocity of both cars may decrease. Also, there may be a change in the velocity of only one car.Option B:
Even if the front car has greater acceleration, it doesn't mean the distance will increase. As long as both the cars have constant acceleration, the distance will increase.Option D:
Similar to option B, as long as both the cars have constant acceleration, the distance will increase.Hence, option C is the correct option.

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