figure below). Initially the motorcycle takes the lead, but then the jet takes the lead, and finally the car blows past the motorcycle. Consider the motorcycle-car race. The motorcycle's constant acceleration am 9.70 m/s² is greater than the car's constant Seceleration a, 5.20 m/s², but the motorcycle has an upper limit of v-54.2 m/s to its speed while the car has an upper limit of v 100 m/s Let the car and motorcycle race in the positive direction of an x axis, starting with their midpoints at x = 0 at t-0. At what (a) time and (b) position are their midpoints again aligned?

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Drag race of car and motorcycle. A popular web video shows a jet airplane, a car, and a motorcycle racing from rest along a runway (the
figure below). Initially the motorcycle takes the lead, but then the jet takes the lead, and finally the car blows past the motorcycle.
Consider the motorcycle-car race. The motorcycle's constant acceleration am 9.70 m/s² is greater than the car's constant
Pederation a, 5.20 m/s², but the motorcycle has an upper limit of v-54.2 m/s to its speed while the car has an upper limit of v
106 m/s Let the car and motorcycle race in the positive direction of an x axis, starting with their midpoints at x = 0 at t=0. At what (a)
time and (b) position are their midpoints again aligned?
Transcribed Image Text:Drag race of car and motorcycle. A popular web video shows a jet airplane, a car, and a motorcycle racing from rest along a runway (the figure below). Initially the motorcycle takes the lead, but then the jet takes the lead, and finally the car blows past the motorcycle. Consider the motorcycle-car race. The motorcycle's constant acceleration am 9.70 m/s² is greater than the car's constant Pederation a, 5.20 m/s², but the motorcycle has an upper limit of v-54.2 m/s to its speed while the car has an upper limit of v 106 m/s Let the car and motorcycle race in the positive direction of an x axis, starting with their midpoints at x = 0 at t=0. At what (a) time and (b) position are their midpoints again aligned?
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