physics

posted by .

an automobile moving at constant velocity of 15m/sec passes a gasoline station. two seconds later another automobile leaves the gasoline station and accelerates at a constant rate of 2m/ sec squared. how soon will the second automobile overtake the first ?

  • physics -

    They will pass when the distances traveled are equal.

    15 t = (a/2)(t-2)^2 = (t-2)^2

    Solve for t, which is measured from the time the 15 m/s car goes by the station.

    t^2 -4t +4 = 15 t
    t^2 -19t +4 = 0

    t = (1/2)[19 +sqrt345) = 18.79 s

    Both cars will have travelled 282 m at that time

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    1.The speed of a train increased from 15 mi/hr to 25 mi/hr in a distance of 500 ft. Calculate the average acceleration in ft/s2. 2.An airplane taking off from a landing field has a run of 500 m. It starts from rest, moves with constant …
  2. physics

    an automobile moving at a constant velocity of 50 ft/sec passes a gasoline station. 3 sec later, another automobile leaves the gasoline station and accelerates at the constant rate of 6.5 ft/sec2. how soon will the second automobile …
  3. Physics

    An automobile moving at a constant velocity of 15m/s passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant rate of 2m/s^2 in the same direction. How soon does the …
  4. Physics

    At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts moving forward with a constant acceleration of 2.00m/s(squared). At the same time a truck traveling with a constant speed of …
  5. Physics

    At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts moving forward with a constant acceleration of 2.00m/s(squared). At the same time a truck traveling with a constant speed of …
  6. physics

    An automobile moving at a constant velocity of 15 m/s passes a gasoline station. Two seconds later, another automobile leaves the station and accelerates at a constant rate of 2 m/s^2 in the same direction as the 1st automobile. How …
  7. Physics

    An automobile moving at a constant velocity of 25m/s passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant rate of 4.0m/s^2. how soon will the second automobile overtake …
  8. physics

    At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.10m/s2 . At the same instant, a truck, traveling with a constant speed of 15.1m/s , …
  9. Physics

    An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.15m/s2 , and the automobile an acceleration of 3.47m/s2 . The …
  10. College Physics

    A car moving at constant velocity of 14 m/s passes a gasoline station. two seconds later, another car leaves the gasoline station and accelerates at the constant rate of 2m/s^2. How soon will the second car overtake the first?

More Similar Questions