Problem 5.1:
Suppose a dog named Tika is chasing a duck in a straight line. If the duck's speed is
given by
d'(t) = 5 feet per second and Tika's speed by
T'(t) = 2t feet per second, how
far has Tika traveled when her speed is equal to the duck's speed? If the duck gets a
100 foot head start, how far has Tika traveled when she catches the duck?
Figure P.1: The Dog Tika Chasing a Duck
