Two cars, P and Q, travel in the same direction on a long, straight section of a
ID: 1330246 • Letter: T
Question
Two cars, P and Q, travel in the same direction on a long, straight section of a highway. Car P passes car Q, and is adjacent to car Q at time t0. Suppose that car P and car Q each move with constant speed. At time t0, is the magnitude of the instantaneous velocity of car P greater than, less than, or equal to the magnitude of the instantaneous velocity of car Q? Explain. Suppose instead that car P is moving with constant speed but car Q is speeding up. At time t0, is the magnitude of the instantaneous velocity of car P greater than, less than, or equal to the magnitude of the instantaneous velocity of car Q? Explain.Explanation / Answer
(a)
The car P passes the car Q, so, the constant speed of the car is greater than that of the car Q. The velocity of the particle at considerably small interval of time is called as instantaneous velocity. For constant velocity, the instantaneous velocity is same in all small time intervals.
Therefore, the magnitude of the instantaneous velocity of the car P is greater than the magnitude of the instantaneous velocity of the car Q.
(b)
In the case of speeding up, the instantaneous velocity changes each and every successive time interval.
We may not conclude the answer in this case without giving numerical values. It may greater or equal or lesser
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