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A student driving at a constant speed of 45 m/sec passes a highway patrol car parked on the side of the road. One second later, the patrol car accelerates at a constant rate of 3.00 m/sec^2 in an attempt to catch up with the speeding student. How long does it take to over take the student?

  • physics -

    After one second, when the patrol car is at location x = 0, the student is at 45 m.

    The student's location as a function of time, where t=0 when the police car starts accelerating is

    45 + 45*t

    The policeman's position is

    1/2*3*t^2

    Set these two equations equal to each other and solve for t

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