Lesson: Acceleration over a Distance
In this lesson, we will learn how to use an object's initial and final velocities and the object's displacement to define acceleration by using the formula v² = u² + 2as.
Sample Question Videos
Worksheet: 17 Questions • 3 Videos
A passenger in an airport luggage reclaim area notices her luggage moving toward her on a carousel. She walks toward the luggage at 0.3 m/s, parallel to the carousel, picks it up, and moves a distance of 0.15 m against the direction of the carousel. After that, she continues walking at 0.1 m/s, parallel to the carousel. What is her rate of acceleration in the direction of the carousel while picking up the luggage?
A person on water skis is floating at rest in the water, holding a handle attached to a tow rope. The other end of the rope is attached to a speedboat 10 m in front of the skier, which is also at rest. The tow rope’s length is 20 m, and the skier will not start to be pulled by the rope until the distance between the boat and the skier has become 20 m. The boat accelerates away from the skier at a steady 6.5 m/s2. What will the velocity of the boat be when the rope starts to pull the skier? Round your answer to one decimal place.
A motorcycle moving at a velocity of 20 m/s along a road drives into a large patch of mud that stretches for 5 m and continually reduces the motorcycle’s velocity while the motorcycle drives through it. The velocity of the motorcycle when it has completely driven through the mud is 15 m/s. What was the average acceleration of the motorcycle while driving through the mud?