The velocity of a particle is given by the function . How far does the particle travel over the interval of time ?

Find the position at given the following velocity function.

The acceleration of an object is given by the equation . What is the distance travelled by the object from to , if the initial velocity of the object is ?

The acceleration of a particle is given by the function . If the particle has an initial velocity of zero, how far does it travel on the interval ?

The velocity of a car in miles per hour can be described with the function

.

How many miles did the car travel between and hours?

The position of an object is given by the equation . What is the distance from the object's location at to the object's location at ?

Given that the velocity of a bird flying is given as , calculate how far the bird has traveled from to . The original position of the bird is unknown.

Let . Let . What is the distance between these two points?

The velocity of an object is given by the equation . What is the distance covered by the object from time to time ?

Assume that two students are each walking on a circular path. We further suppose that these paths are centered at the origin. The radius of the first one is , and the radius of the second is . One student stopped walking and is located at . What is the distance between the two students if other one is walking on the lower half of the circle of radius ?