Math Problem of the Month


Be the first to solve the following problem to win a free hour of tutoring! Be sure to show all your work. Note: Winners must be in high school! Win a free trip to New Zealand.

AP Calculus:

A function ƒ(t) is given by

ƒ(t) = at(cos(t^2)) + b

a and b are constants.

f(t) is the velocity in ft/min. of an incredibly indecisive high school boy from his lunch table at time t, moving towards his crush sitting on the other side of the cafeteria.

at t = 0 the boy gets up from his table and begins moving at a rate of 2 ft/min, accelerating towards the human of his dreams at 4 ft/min^2.

What is the distance between the seats of the two potential lovers?