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happykiddo

  • one year ago

A speeder traveling at 42 m/s passes a motorcycle policeman at rest at the side of the road. The policeman accelerates at 3.66 m/s2. To the nearest tenth of a second how long does it take the policeman to catch the speeder? Both located at the same place and time.

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  1. happykiddo
    • one year ago
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    I used the formula \[S=1/2(a)(t)^2+ Vi(t)+Si\]

  2. happykiddo
    • one year ago
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    Because of the same place and time I made cop=speeder

  3. happykiddo
    • one year ago
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    So the way I did it is (1/2)(3.66m/s^2)(t^2)=(42m/s)(t)

  4. happykiddo
    • one year ago
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    I got it!! I incorrectly punched some numbers into the calculator before. But thank you for your effort : )

  5. anonymous
    • one year ago
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    The speeder is traveling at constant velocity The policeman is traveling at constant acceleration. For constant velocity I would use \[d=vt\] and for constant acceleration, I would use \[final distance=initial distance+vt+\frac{ 1 }{ 2 }at^2\] Well, what do you know? They both equals to distance traveled. So you set them equal to each other by solving for time.

  6. anonymous
    • one year ago
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    -_- lol. Right when I almost finished.

  7. happykiddo
    • one year ago
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    But still thanks!! Could you help with another problem?

  8. anonymous
    • one year ago
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    Writing in the equation sheet usually delays me.

  9. anonymous
    • one year ago
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    Yea sure.

  10. happykiddo
    • one year ago
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    I'l lpost it as a new question.

  11. anonymous
    • one year ago
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    Ok I'll be there.

  12. happykiddo
    • one year ago
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    A car traveling at 16 m/s accelerates at 3.95 m/s2 for 6 seconds. To the nearest meter how far does it travel? I used the same equation from the last question but got 77.1 meters instead of 167(correct answer).

  13. happykiddo
    • one year ago
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    \[S=\frac{ 1 }{ 2 }(a)(t)^2+Vi(t)+Si\]

  14. happykiddo
    • one year ago
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    a=3.95 t=6 Vi=0 Si=0

  15. anonymous
    • one year ago
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    No, the initial velocity is 16m/s. It does not say the vehicle started from rest.

  16. anonymous
    • one year ago
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    16m/s*6s=96m

  17. happykiddo
    • one year ago
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    Gotcha, let me try it out.

  18. happykiddo
    • one year ago
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    I got it! Thank you for the help.

  19. anonymous
    • one year ago
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    No problem!

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