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A 3.5 × 103
kg car accelerates from rest at
the top of a driveway that is sloped at an angle of 16.9◦ with the horizontal. An average frictional force of 4.1×103 N impedes the car’s
motion so that the car’s speed at the bottom of the driveway is 4.2 m/s.
The acceleration of gravity is 9.81 m/s^2.
What is the length of the driveway?
Answer in units of m

  • Physics -

    the net acceleration is
    ___ g sin(16.9º) - (4.1×103 N / 3.5 × 103

    divide the speed at the bottom by the acceleration to get the time for the trip

    the average speed is (0 + 4.2) / 2

    speed times time is distance (the length of the driveway)

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