For this part, the important quantity is the relative position, or the separatio
ID: 2136045 • Letter: F
Question
For this part, the important quantity is the relative position, or the separation of the two vehicles. You can consider the motion in a frame of reference that moves with the constant speed of the car (22.0 ). In this frame of reference, the car is standing still, both vehicles have zero initial
speed, and so the calculations are simpler. With the car at zero speed and the initial speed of the motorcycle zero, the problem reduces to finding how long it takes the motorcycle to cover a distance of 51.0 starting at zero velocity with an acceleration of 6.00 .
However, if you don't feel comfortable with this approach, the rest of the hints for this part will help you with a more traditional method based on the positions of car and motorcycle with respect to the ground as functions of time.
For this part, the important quantity is the relative position, or the separation of the two vehicles. You can consider the motion in a frame of reference that moves with the constant speed of the car . In this frame of reference, the car is standing still, both vehicles have zero initial speed, and so the calculations are simpler. With the car at zero speed and the initial speed of the motorcycle zero, the problem reduces to finding how long it takes the motorcycle to cover a distance of starting at zero velocity with an acceleration of However, if you don't feel comfortable with this approach, the rest of the hints for this part will help you with a more traditional method based on the positions of car and motorcycle with respect to the ground as functions of time.Explanation / Answer
As both are in same frame,
Initial velocity of motorcycle,U=velcity of car = 22
Acceleration,a = 6
Distance = 51
We know, distance,S= Ut + 0.5 at^2
51=22t + 3t^2
t = 1.85 sec
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