Q.1) A driver is driving at 68 mi/hr on a straight highway. He sees an accident on the road in front of him, so he slams on the brakes. The car decelerates at 0.60 g. How far would the car travel before stopping? State the answer in feet.
2) A runner of mass 64.6 kg starts from rest and accelerates with the constant acceleration of 1.15 m/s2 until she reaches a velocity of 7.30 m/s. She next continues running with this constant velocity. How long does the runner take to run 129 m?
3) The minimum distance necessary for a car to brake to a stop from a speed of 100.0 km/h is 60 m on a dry pavement. What is the minimum distance needed for this car to brake to a stop from the speed of 155.0 km/h on dry pavement?
4) A girl is standing at the edge of the cliff 271 m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed of 6.17 m/s. a) how long does it take the rock to hit ground? b) What is the speed of the rock the instant before it hits ground?
5) You are trying to improve your shooting skills by shooting at a can on top of a fence post. You miss the can, and the bullet, moving at 205 m/s, is embedded 1.53 cm into the post when it comes to a stop. If constant acceleration is assumed, how long does it take for the bullet to stop?
6) A race car on a drag strip goes from 0 to 90 mph in six seconds. How far does it travel during those six seconds? State the answer in feet.
7 ) A particle moves on the x axis. At time t = 0 the position is x = 1 m and the velocity is v = 2 m/s. For t > 0 it has acceleration a = 3 m/s/s. At what time would it pass the point x = 32 m?