A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by æ (t) = bt2 – ct³, where b = 3.00 m/s and c = 0.110 m/s.

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A) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s.

B) Calculate the instantaneous velocity of the car at t = 0.

C) Calculate the instantaneous velocity of the car at t = 5.00 s.

D) Calculate the instantaneous velocity of the car at t = 10.0 s.

E) How long after starting from rest is the car again at rest?

A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by \( x(t) = bt^2 - ct^3 \), where \( b = 3.00 \, \text{m/s}^2 \) and \( c = 0.110 \, \text{m/s}^3 \).
Transcribed Image Text:A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by \( x(t) = bt^2 - ct^3 \), where \( b = 3.00 \, \text{m/s}^2 \) and \( c = 0.110 \, \text{m/s}^3 \).
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