A bullet is shot into a block of plastic. The bullet penetrates the block 0.5 m. The mass of the bullet is 7 g. It is traveling with a speed of 550 m/s before it hits the block. (a) Use kinematic equations to find the magnitude of the acceleration on the bullet as it is penetrating the block (ignore gravity, and assume that the force on the bullet as it penetrates the block is constant).

(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.)