posted by .

Can someone please tell me if I've approached this homework problem correctly. A boy is running at his best speed of 6.0 m/s to catch a bus stopped at the lights. When he is 16 m from the bus, the light goes green and the bus pulls away at an acceleration of 1.0 m/s/s. Does he catch up with the bus and if yes how far does he have to run?
I set the distance of the boy equal to the distance of the bus in order for him to catch up to it and got: 6t=16 +1/2t^2, then solved the quad. equation to get t=4 or 8. So he ran 24m till he caught the bus. Did I do this correctly.

  • Physics -

    That is the right equation. I will rewrite it as:

    t^2 -12t + 32 = 0
    (t-4)(t-8) = 0
    (The t=8 time is when the bus would pull past him, if he didn't get on and passed it at t=4)

    He will have run 24 s at t=4. Yes, you did it right. Nice job.

  • Physics -

    Yeah! thank you very much for checking my work. I can go to bed now.

  • Physics -

    I meant 24 meters, not 24 seconds. You figured that out already

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions


    A student is running at her top speed of 4.6 m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 38.9 m from the bus, it starts to pull away, moving with a constant acceleration of 0.177 m/s^2. …
  2. physics

    A passenger on a stopped bus notices that rain is falling vertically just outside the window. When the bus moves with constant velocity, the passenger observes that the falling raindrops are now making an angle of 18 with respect to …
  3. Physichs

    A pedestrian is running at his maximum speed of 6.0m/s to catch a bus stopped by a traffic light. When he is 25m away from the bus the light changes and the bus accelerates uniformly at 1.0m/s^2. Find either (a) how far he has to run …
  4. AP Physics

    Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus?
  5. Physics? clueless on what to do

    Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus?
  6. physic

    A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, when he is a distance b from the door to the bus, the bus starts moving with the positive acceleration a. Use a coordinate system …
  7. Language Art (Please Check)

    i think its C. when does juan catch the bus for school?
  8. Physics

    A physics student who is late for school is trying to catch her bus. The student is 10 m behind the bus as the bus starts from rest and begins to accelerate at 0.5 m/s2 away from her. If the student continues running at a steady 3 …
  9. math

    Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning …
  10. Shea middle school

    John oversleeps and misses the bus by 1 hour. He takes taxi to catch up to the bus. The taxi travels at an average speed of 100 km/h. At what time does the taxi catch up to the bus?

More Similar Questions