1. Consider a projectile, say a frictionless teddy bear, which is thrown at an angle of theta� with an initial

velocity of v0.

� a) For a fi�xed angle, �and the maximum height of the teddy bear.
� b) Calculate the distance that the teddy bear travels before returning (gently, of course) to the
ground (which is assumed to be
at).
� c) Use these pieces of information to �nd the angle which produces the maximum of the sum of height and distance.
usage of function. in these question.