2. A race car travels in a straight line. Let's call its position x. The acceleration of the race car is given by 5'30 t/T 0.x e where 9:0 is a constant with units of distance and T is a constant with units of time. Note: you are not given numbers for this problem; your answers should be left in terms of the given arbitrary constants, numerical factors, and, when appropriate, time t. a) What is the initial acceleration of the race car at t = 0? Are the units correct? b) Determine the velocity and position of the race car as functions of time assuming ox = 0 and a: = 0 at t = 0. c) Using your answer from part b), after a very, very, very long time has passed what is the velocity of the race car? Based on am, does this make sense? d) Redo part b) but this time assume the initial velocity at t = 0 is some arbitrary value that we'll call 120 and the initial position at t = 0 is equal to the constant x0