PhysicsLAB AP Free Response Question
2002 C1

A crash test car of mass 1,000 kg moving at constant speed of 12 m/s collides completely inelastically with an object of mass M at time t = 0. The object was initially 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
 

 
 Calculate the mass M of the object.

 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.

 Determine an expression for the resisting force on the car object system after the collision as a function of time t.

 Determine the impulse delivered to the car object system from t = 0 to t = 2.0 s.





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