Q01 A car (mass mi = 1520 kg) is moving on a road (+x direction) with a velocity of Bj; = 10.0 -t. The car collides with a person A (mass m2-58.0 kg) stay at rest (12; = 0). After collision the car moves in same direction with the velocity of By - 9.5 -i and the person A moves to +x direction with different final velocity (vzf = unknown). The collision is about At = 0.050 seconds. Assume there are no external forces on the system during the collision. a) Derive an algebraic equation (by using conservation of momentum) for the final velocity of the person A (3 points) and then find the numerical value of the final velocity of person A? (1 points) b) Write down algebraic equation for the average force on person A during the collision (2 points) and then find the numerical value? (1 points) c) Find the energy lose due to collision? (3 points)