1) A 4.52 m long Ferrari F50 moves north on a highway that intersects with another perpendicular road. The width of the intersection from the near end to the far end is 28.0 m. The Ferrari has a constant acceleration of magnitude 2.10 m/s2 directed to the south. The time interval required for the nose of the Ferrari to move from the near end (south) of the intersection to the north end of the intersection is 3.10 s. a) How far is the nose of the Ferrari from the south end of the intersection when it stops? b) For what time interval is any part of the Ferrari within the boundaries of the intersection? c) A Corvette is at rest on the perpendicular intersecting road. As the nose of the Ferrari enters the intersection, the Corvette starts from rest and accelerates eastward at 5.60 m/s2. What is the minimum distance from the near end (west) of the intersection that the nose of the Corvette can start its motion, if the Corvette must enter the intersection after the Ferrari has completely left the intersection? d) If the Corvette starts its motion at the position given by your answer in part c), with what speed does it enter the intersection?

2) An inquisitive physics student and mountain climber ascends a 50.0 m cliff that hangs over a calm body of water. He throws two rocks vertically downwards, with a separation of 1.00 s and observes that they cause a single splash. The first rock has an initial speed of 2.00 m/s. a) How long after releasing the first rock do the two rocks hit the water? b) What initial speed must the second rock have if they are to hit simultaneously? c) What is the speed of each rock at the instant they hit the water?

3) A hard rubber ball, released at chest height, falls to the pavement and bounces back almost to the same height. When in contact with the pavement, the bottom side of the ball is temporarily flattened. Assume that the maximum depth of the dent is on the order of 1 cm. Estimate the order of magnitude for the maximum acceleration of the ball while in contact with the pavement. State your assumptions, the quantities you estimated, and the values you estimated for them.

4) Kathy Kool buys a sports car that can accelerate with a rate of 4.90 m/s2. She decides to test the car by racing against another driver, Stan Speedy. Both start from rest, but the experienced Stan leaves the starting line 1.00 s before Kathy. Stan moves with a constant acceleration of 3.50 m/s2 and Kathy maintains an acceleration of 4.90 m/s2. Find a) the time when Kathy catches up to Stan, b) the distance she travels before catching up to him, and c) the velocities of both cars at the instant she catches up.

5) A rock is dropped from rest into a well. a) The sound of the splash is heard 2.40 s after the rock is released from rest. How far below the top of the well is the water's surface? The speed of sound in air (at room temperature) is 336 m/s. b) What if? If the time for the sound to travel is ignored, what percentage error is introduced into the calculated depth of the well?