Momentum Physics

A crash test car of mass 1,000 kg moving at a constant speed of 12 m/s collides completely inelastically with an object of mass M at time t = 0. The ojbect was initally at rest. The speed v in m/s of the car object system after the collision is given as a function of time t in seconds by the expression
$$v = \frac{8}{1 + 5t}$$
A. Calculate the mass M of the object
B. Assuming an initial position of x = 0, determine an expression for the position of the car object system after the collision as a function of time t.
C. Determine an expression for the resisting force on the car object system after the collision as a function of time t.
D. Determine the impulse delivered to the car object system from t = 0 to t = 2.0 s.