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    Kinematics of Two Balls

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    Two balls are thrown upward from the edge of a cliff in example 6 (see attachment). The first is thrown with a speed of 48 ft/s and the other is thrown a second later with a speed of 24 ft/sec. Do the balls ever pass each other?

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    © BrainMass Inc. brainmass.com March 4, 2021, 9:03 pm ad1c9bdddf
    https://brainmass.com/physics/velocity/kinematics-balls-213695

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    Please refer to the attachment.

    Let us consider upwards direction as +ve and downwards as -ve.

    Let the first ball be thrown upwards at time instant t = 0. The ball is subjected to acceleration due to gravity of -32ft/s2 (-ve sign because acceleration due to gravity always acts downwards). By definition, acceleration is the rate of change of velocity. Hence, we can write the following equation :

    a = dv/dt = -32 or dv = -32dt

    Integrating both sides we get : v = -32∫dt + C = -32t + C where C is the constant ...

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