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Math Help - Very Hard Bonus Question

  1. #1
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    Very Hard Bonus Question

    A boy and a ball are at rest at the top of an incline. The ball rolls down the incline with an acceleration of 0.2m/s^2. Twelve seconds later the boy chases after the ball with an acceleration of 9.0m/s^2. The length the incline is 60m. Draw a diagram before solving the problem.

    Given:
    Velocity1Boy = 0m/s
    Velocity1Ball = 0m/s
    AccelerationBall = 0.2m/s^2
    Time = 12s
    AccelerationBoy = 0.9m/s^2
    Displacement = 60m

    a. Will the boy catch the ball before the end of the incline? Hint "When are their displacements equal?"

    What am I supposed to solve for? Is it the velocities of the boy and the ball?

    b. What is the velocity of the boy when he catches the ball.

    c. At what time does the boy catch the ball?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by shadow6 View Post
    A boy and a ball are at rest at the top of an incline. The ball rolls down the incline with an acceleration of 0.2m/s^2. Twelve seconds later the boy chases after the ball with an acceleration of 9.0m/s^2. The length the incline is 60m. Draw a diagram before solving the problem.

    Given:
    Velocity1Boy = 0m/s
    Velocity1Ball = 0m/s
    AccelerationBall = 0.2m/s^2
    Time = 12s
    AccelerationBoy = 0.9m/s^2
    Displacement = 60m

    a. Will the boy catch the ball before the end of the incline? Hint "When are their displacements equal?"

    What am I supposed to solve for? Is it the velocities of the boy and the ball?

    b. What is the velocity of the boy when he catches the ball.

    c. At what time does the boy catch the ball?
    Find the time, displacement and velocity when the boy catches the ball.

    Is this displacement still on the plane?

    Bonus problem => you are supposed to do this on your own


    CB
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