A baseball diamond is a square with sides of length 90ft. Suppose Manny hits a "double", so that he must run from home plate to second base. He runs at a constant speed of 15 feet per second. Express the distance (in feet) between Manny and home plate as a function of time t (seconds).

Question

A baseball diamond is a square with sides of length 90ft. Suppose Manny hits a "double", so that he must run from home plate to second base. He runs at a constant speed of 15 feet per second. Express the distance (in feet) between Manny and home plate as a function of time t (seconds).
Answer
f(x)={??? if 0 ≤ t ≤ 6
     {??? if 6 ≤ t ≤ 12

Steve · Answer

Draw a diagram! clearly, if f(t) is the distance in feet, for 0<=t<=6, f(t) = 15t for 6<=t<=12, f(t) = √(90^2+(15t)^2)