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In coming to a stop, a car leaves skid marks 73 m long on the highway....

In coming to a stop, a car leaves skid marks 73 m long on the highway.

Assuming a deceleration of 6.50 m/s2 , estimate the speed of the car just before braking.

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Answer #1

Given:-

  • Car leaves skid marks over the distance :
  • Deceleration of the car                           :

By kinematic equation,

Where,

  • : is the final speed of the car
  • : is the initial speed of the car.
  • : is the acceleration of the car.

Since the car is going to stop, final speed of the car will be zero : , therefore,

Acceleration is negative because its direction is opposite to motion of the car i.e. deceleration.

This is the speed of the car just before braking.

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