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could somebody help me solve these questions ? Two cars, C and D, travel in the

ID: 1359766 • Letter: C

Question

could somebody help me solve these questions ?

Two cars, C and D, travel in the same direction on a long, straight section of highway. During a particular time interval Delta t_0, car D is ahead of a car c and is speeding up while car C is slowing down. During the interval Delta t_0 it is observed the car C gains on car D (i.e., the distance between the cars decreases). Explain how this is possible, and give a specific example of such a case. 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 t_0. Suppose that car P and car Q each move with constant speed. At time t_0, 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 t_0, is the magnitude of the instantaneous velocity of car P greater than, less than, or equal the magnitude of the instantaneous velocity of car Q? Explain.

Explanation / Answer

Q7.
It all depends on their initial speeds Vc and Vd at t=0

If Vc > Vd then C is gaining on D.

If Vc decelerates at a rate of fc and D accelerates at a rate of fd

C will continue to gain until Vc - fc.t <= Vd + fd.t

Q8.
a) the answer is in the question, if v is constant and P passes Q then the instantaneous velocity of P is ALWAYS greater.

b) if at time t0 P is passing Q then P has greater velocity at that instant.