One morning, standing 15 m away from the bottom of a 35 m tall structure, you are splashed with
a water balloon! what horizontal velocity did the balloon need if it was thrown from the top of
the structure in order to mess up your morning?

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)