In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. the ball hits the ground 2.40 s later, at distance d = 27.0 m from the building and at angle θ = 59.0° with the horizontal. (a) find h. (hint: one way is to reverse the motion, as if on videotape.) what are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)?

(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.)