1. A car is 2.0?? west of a traffic light at ?=0and 5.0?? east of the light at ?=6.0???. Assume the origin of the coordinate system is the light and the positive ? direction is eastward. (a) What are the position vectors of the car at these two times? (b) What is the car’s displacement between 0??? and 6.0????
1. A car is 2.0?? west of a traffic light at ?=0and 5.0?? east of the light at ?=6.0???. Assume the origin of the coordinate system is the light and the positive ? direction is eastward.
(a) What are the position vectors of the car at these two times?
(b) What is the car’s displacement between 0??? and 6.0????
2. An astronaut left the International Space Station to test a new space scooter. Her partner measures the following velocity changes, each taking place on a 10-secondinterval. What is the average acceleration in each interval (magnitude, algebraic sign, and direction)? Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the ?-axis at 15.0?/? and,at the end of the interval, she is moving toward the right at 5.0?/?.
(b) At the beginning, she is moving toward the left at 5.0?/?and,at the end, she is moving toward the left at 15.0?/?.
(c) At the beginning, she is moving toward the right at 15.0?/s and,at the end,she is moving toward the left at 15.0?/?.
3. In the fastest measured tennis serve, the ball left the racquet at 73.14?/?. A served tennis ball is typically in contact with the racquet for 30.0?? and starts from rest. Assume constant acceleration.
(a) What was the ball’s acceleration during this serve?
(b) How far did the ball travel during the serve?
5. A brick is dropped (zero initial speed) from the roof ofa building. The brick strikes the ground in 2.50?. You may ignore air resistance, so the brick is in free fall.
(a) How tall, inmeters, is the building?
(b) What is the magnitude of the brick’s velocity just before it reaches the ground?
(c) Sketch ?−?, ?−?, and ?−? graphs for the motion of the brick.
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