A student is attempting to push his stalled car out of an intersection with his girlfriend at the wheel. The car and girlfriend has a combined mass of m = 999 kg. Unfortunately the hill has an incline of θ = 3.6 degrees with respect to the horizontal. The student can supply a force of F = 883 N for t = 24 s before tiring. What is the furthest the edge of the intersection can be d in meters from the stalled car in order to make it out in one push. Assume no rolling resistance from the car and that his girlfriend brakes to bring the car to a stop when he stops pushing.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter6: Applications Of Newton’s Laws Of Motion
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A student is attempting to push his stalled car out of an intersection with his girlfriend at the wheel. The car and girlfriend has a combined mass of m = 999 kg. Unfortunately the hill has an incline of θ = 3.6 degrees with respect to the horizontal. The student can supply a force of F = 883 N for t = 24 s before tiring. What is the furthest the edge of the intersection can be d in meters from the stalled car in order to make it out in one push. Assume no rolling resistance from the car and that his girlfriend brakes to bring the car to a stop when he stops pushing. 

I got these hints: 

-Start with free body diagram. Use the relationship between impulse and momentum to find the final velocity of the car after he has pushed for time t.
-Use a kinematic equation to relate the final velocity and time to the distance traveled.
-What is his initial velocity?

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Your formula is correct, but number is not. You forgot to multiply t=24s in step 1, at the line .... = 999v. So follow your formula, the answer will be 77.34m. I rated (y).

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The answer is not correct.

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