5. A race car travels in a straight line. Let's call its position 2:. The acceleration of the race car is given by where $0 is a constant with units of distance and T is a constant with units of time. a) What is the initial acceleration of the race car at t = 0'? Are the units correct? b) Determine the velocity and position of the race car as a function of time assuming 11$ = 0 and a: = 0 when t = 0. c) Redo part b) but this time assume the initial velocity at t 2 O is some arbitrary value that we'll call no and the initial position at t = 0 is equal to the constant :00