Q1:

A car is traveling at a constant speed of 38.0 m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the rst time at the next exit, which is 2.98 km away? Number Units 1} Refer to M ultiple-Concept Example 5 to review a method by which this problem can be solved. You are driving your car, and the trafc light ahead turns red. You apply the brakes for 2.86 s, and the velocity of the car decreases to +5.17 m/s. The car's deceleration has a magnitude of 2.88 m/s2 during this time. What is the car's displacement? _ A A x v l v A hot-air balloon is rising upward with a constant speed of 3.54 m/s. When the balloon is 5.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? Number l Units 4} A woman on a bridge 103 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 4.95 m more to travel before passing under the bridge. The stone hits the water 3.00 m in front of the raft. Find the speed of the raft. Number i Units