A police car is travelling in a straight line with constant speed vp.A truck travelling in the same direction with speed 3/2 vp passes the police car.The truck driver realizes that she is speeding and immediately begins to slow down at a constant rate until she comes to a stop. This is her lucky day, however, and the (still moving with the same constant speed) passes the truck driver without giving her ticket. a) Show that the truck¡¯s speed at the instant that the police car passes the truck does not depend on the magnitude of the truck¡¯s acceleration as it slows down and find the value of that speed.b) Sketch the x-t graph for the two vehicles.

Question

A police car is travelling in a straight line with constant speed vp.A truck travelling in the same direction with speed 3/2 vp passes the police car.The truck driver realizes that she is speeding and immediately begins to slow down at a constant rate until she comes to a stop. This is her lucky day, however, and the (still moving with the same constant speed) passes the truck driver  without giving her ticket.  a) Show that the truck¡¯s speed at the instant that the police car passes the truck does not depend on the magnitude of the truck¡¯s acceleration as it slows down and find the value of that speed.b) Sketch the x-t graph for the two vehicles.