03) Momentum and Impulse: A 250 kg red bumper car (the boy's bumper car) moving at 5 m/s collides into a stationary blue bumper car (the girl's bumper car) with a mass of 200 kg. After the collision they coupled and started moving together. (20 points) 1 . ii. Draw a picture showing, before and after situations along with a coordinate system What will be their combined velocity immediately after the impact? iii. Considering the change of momentum only on the girl's bumper car, find the impulse delivered during the collision. iv . If the collision lasted 1.2s, find the average force delivered to the girl's car during the collision. Q4) Conservation of Energy: In an amusement park, a 200 kg car rolls in a track as shown below. You may neglect the effects due to friction and air resistance throughout this path up to C. (20 points) V = 0 i . Find the gravitational potential energy at the starting point. ii. If the initial velocity is zero, by using conservation of energy find the velocity at A iii. If we start the car from zero at location B, find the 50 m Kinetic energy and the velocity at C. A 40 m iv . Given the initial position (at 50 m) and the final position at C, would the velocity of the car change 20 m depending on the number of secondary peaks on the path (assume all peaks are less than 50 m in height. Explain your