Babe Ruth steps to the plate and casually points to left centerfield to indicate the location of his next home run. Themighty Babe holds his bat across his shoulder, with one handholding the small end of the bat. The bat is horizontal, andthe distance from the small end of the bat to the shoulder is22.5cm. If the bat has a mass of 1.1kg and has a center ofmass that is 67vm from the small end of the bat, find the magnitudeand direction of the force exerted by:

a) the hand
b) the shoulder.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".