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A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at rest. Starting at t = 0, a net horizontal force Fx(t) in the +x-direction is applied to the car. The force as a function of time is given in the figure. The horizontal parts on the graph correspond to 7500 N and 3500 N.

2169_A Prius with a driver and no passengers.png

For the time interval t = 0 to t = 4.50 s, what is the impulse applied to the car?

What is the speed of the car at t = 4.50 s?

At t = 4.50 s, the 3500-N net force is replaced by a constant net braking force Bx = -5140N. Once the braking force is first applied, how long does it take the car to stop?

How much work must be done on the car by the braking force to stop the car?

What distance does the car travel from the time the braking force is first applied until the car stops?

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