Instructions: Answer all the questions in the paper. Make a detailed solution for each question and submit them together with your answers. Incomplete solutions will not be given full marks. The points for each question are indicated at the sides. Total number of points is 200. Bonus question is given at the end. 1. A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving towards the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/S. Both the cyclist and the runner cross the finish line at the exact same instant. Assume both of them, when moving, move steadily at their respective speeds, (a) How far is the runner from the finish line when the cyclist resumes the race? (20) (b) For how long in time was the cyclist stationary? (20) 2. A cathode-ray tube can accelerate an electron from 2.00x10^4 m/s to 6.00x10*6 m/s over 1.50 cm. (a) In what time interval does the electron travel this 1.50 cm? (10) (b) What is its acceleration? (10) 3. A driver of a car was stupidly using his phone while driving when he sees a tree blocking the road. He immediately slams on the brakes and the car slows uniformly with an acceleration of -4.60 m/s^2 for 3.20 s, making straight skid marks 55.3 m long, all the way to the tree. (a) With what speed does the car then strike the tree? (20) 4. A policeman is standing on the side of the road eating donuts when a politician who stole public funds drives past him at a constant speed of 120m/s. After 3s, the policeman decided to get inside his vehicle and go after the politician. If the police vehicle accelerates uniformly at 40m/s*2 (a) How long does it take him to catch the politician and congratulate him? (20) (b) How far has he traveled in that time? (Assume the politician remained in motion at constant speed) (20) 5. An object moves with constant acceleration 4.00 m/s*2 and over a time interval reaches a final velocity of 12.0 m/s. (a) If its initial velocity is 6.00 m/s, what is its displacement during the time interval? (10) (b) What is the distance it travels during this interval? (10) (c) If its initial velocity is 26.00 m/s, what is its displacement during the time interval? (10) (d) What is the total distance it travels during the interval in part (c)? (10) 6. A car dealer slaps the roof of a car and claims that this bad boy can accelerate from rest to a speed of 42.0 m/s in 8.00 s. (a) Determine the acceleration of the car assuming its constant. (10) (b) Assume that the car moves with constant acceleration. Find the distance the car travels in the first 8.00 s. (10) (c) What is the speed of the car 10.0 s after it begins its motion if it can continue to move with the same acceleration? (20)