when the runner is x feet from 1st base, his distance z from 2nd base is
z^2 = x^2 + 90^2
z dz/dt = x dx/dt
when x=45, z = 45√5, so
45√5 dz/dt = 45 * -22
dz/dt = -22/√5
now see what you can do with the distance to third base. (The right angle is at home plate)
Post your work if you get stuck.
A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s.
At what rate is his distance from second base changing when he is halfway to first base?
At what rate is his distance from third base changing at the same moment?
1 answer
1 answer