Explore BrainMass

Explore BrainMass

    Related rates of speed and distance

    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!

    A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s.

    (a) At what rate is his distance from second base decreasing when he is halfway to first base?

    (b) At what rate is his distance from third base increasing at the same moment?

    © BrainMass Inc. brainmass.com March 6, 2023, 12:50 pm ad1c9bdddf

    Solution Preview

    Let u be the distance from 2nd base.


    where x is the distance from 1st base

    du/dt = x*[(90^2+x^2)^(-1/2)](dx/dt)

    dx/dt = 24 ft/s (actually it should be negative, since the ...

    Solution Summary

    This shows how to find the rate of change of distance with a runner in a baseball diamond.