Q1) The tortoise decides to train for the next race with the bunny. She finds herself moving with uniform acceleration along a straight section of ditch. She starts her stopwatch as she passes a fence post and notes that it takes her 10. s to reach a maple tree 10. m farther along the ditch. As she passes the maple tree, her speed is 1.2 m/s. How far was she from the fence post when she started from rest?

Q2) A ball is dropped from a skyscraper window which is 350 m above ground level. A second ball is thrown vertically downwards 1.5 s later. Both balls hit the ground at the same time. With what initial velocity was the second ball thrown with?

Q3) - Nicholas is running for the bus (his parents took away his mini-van privileges!). He runs at a constant velocity of 7.20 m/s to catch the Viva bus that is loading up at a bus stop. When he is 27.6 m from the bus, the driver starts to pull away with an acceleration of 1.20 m/s2. Does Nicholas catch the bus? If yes, calculate how long it takes him to catch it. If not, how close does he come to the bus?

Q4 - An aspiring physics student builds a rocket powered car in an attempt to earn some phys-abilities. In a trial run, the car starts from rest and the rocket provides a constant acceleration for 9.0 s along a straight section of roadway. Then the rocket shuts off and a parachute opens, which causes the cart to slow down at a rate of 5.0 m/s2. The car crosses the finish line, 990 m from the starting line exactly 12 s after the rocket was fired. What is the car's speed as it crosses the finish line?

Q5 - The Mustang from question 1/ is travelling along a highway at a constant velocity of 36 m/s [N]. It passes an unmarked police car parked on the shoulder of the road. It takes the police officer 3.0 s to secure his coffee, then he pursues the Mustang with an uniform acceleration of 6.0 m/s2 [N]. The police car reaches a velocity of 48 m/s [N], then cruises until it catches up to the Mustang. Determine the time it takes the police car to catch up to the sports car, starting from the time when the Mustang blows past it.