Explore BrainMass

Explore BrainMass

    Kinematics of Two Balls

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    See the attached file.

    © BrainMass Inc. brainmass.com March 4, 2021, 9:03 pm ad1c9bdddf


    Solution Preview

    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 ...

    Solution Summary

    Step-by-step solution regarding the kinematics of two balls provided.