Question

1a. An unidentified flying object (UFO) is observed to travel a total distance of 46000 m, starting and ending at rest, over a duration of 1.57 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.

b. A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 45.3 m/s. Just as the Ford passes it, the Toyota is traveling at 16.0 m/s. As soon as the Ford passes the Toyota, the Toyota begins to accelerate forward at a constant rate. Meanwhile the Ford just keeps going at a steady [] m/s to the east. The Toyota catches up to the Ford a distance of 89.0 m ahead of where the Ford first passed it. What was the magnitude of the Toyota s acceleration?

c. Driving down the road at a speed of 33.7 m/s, you suddenly notice a fallen tree blocking the road a distance of 85.1 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 5.4 m in front of the tree?

Answer 1