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Math Help - Kinematics question

  1. #1
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    Kinematics question

    A ball is thrown straight upward with a speed v from a point h meters above the ground. Show that the time taken for the ball to strike the ground is (v/g)[1+sqrt(1+(2hg/v^2)]

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    I honestly have no idea where to start, just an optional problem that the teacher intended to be difficult, but any help would be appreciated.

    It appears to be a quadratic... ?
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  2. #2
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    Quote Originally Posted by Caturdayz View Post
    A ball is thrown straight upward with a speed v from a point h meters above the ground. Show that the time taken for the ball to strike the ground is (v/g)[1+sqrt(1+(2hg/v^2)]

    ---


    I honestly have no idea where to start, just an optional problem that the teacher intended to be difficult, but any help would be appreciated.

    It appears to be a quadratic... ?
    Take upwards direction as the positive:

    Initial velocity = v
    Displacement = -h
    Acceleration = -g
    Final velocity = ?

    Substitute the above into an appropriate uniform acceleration formula and solve for final velocity.
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