Kinematics: solve the following with solutions 1. Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/hand the other is moving at 40km/h. In how many hours will they meet? 2. A subway train starts from rest at a station and accelerates at a rate of 2m/s2 for 10s. It runs at constant speed for 30s and then slows down at -4m/s2, until it stops at the next station. How far are the two stations from one another? 3. A coin is dropped from the top of a building. The speed of the coin just before hitting the ground is 29.4 m/s. (a) What is the height of the building? (b) How long was the coin in the air before hitting the ground? Neglect air resistance. 4. A ball of clay is thrown straight up toward the ceiling which is 3.8 m above the clay's starting point. The initial speed of the clay is 9.6 m/s. (a) What is the speed of the clay just before it strikes the ceiling? (b) How much time from its starting point does it take the clay to reach the ceiling? 5. You throw a pebble straight up from the edge of a bridge that crosses a river. The pebble reaches the water 29.0 m below its starting point, 6.0 s after it leaves your hand. Ignore air resistance. (a) What is the initial speed of the pebble? (b) How high does it rise from its starting point? 6. Solve for the time in air of a soccer ball kicked from the ground with an initial velocity of 7m/s at an angle of 14 degrees. Disregard air resistance. 7. A projectile is fired from the edge of a cliff, with initial horizontal and vertical velocity components 3m/s and 4 m/s respectively. The projectile rises and then falls to the bottom of the cliff after 10s. Considering that it experiences no appreciable air resistance, solve for its velocity 3s after it was fired. 8. Rene throws a marble from a height of 5m above the ground with an initial velocity of 8m/s 15 degrees North of West. Solve for the following : (a) highest position reached by the marble, (b) total time in air of the marble and (c) how far away from Rene does the marble land