Distance

Practice Questions

CLEP Calculus › Distance

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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 ?

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

The velocity of a particle is given by the function $v(t)=3t^2\cos(t^3)-8t\sin(t^2)$ . How far does the particle travel over the interval of time ?

The acceleration of a particle is given by the function $a(t)=5(1-e^{-2t})$ . 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

$v(t)=7t^{\frac{1}{3}}+12t$ .

How many miles did the car travel between and hours?

The acceleration of an object is given by the equation $a(t) = 100 - \sin(t)$ . What is the distance travelled by the object from to , if the initial velocity of the object is ?

Find the position at given the following velocity function.

The acceleration of a particle is given by the function $a(t)=5(1-e^{-2t})$ . If the particle has an initial velocity of zero, how far does it travel on the interval ?

The velocity of a particle is given by the function $v(t)=3t^2\cos(t^3)-8t\sin(t^2)$ . How far does the particle travel over the interval of time ?

The acceleration of an object is given by the equation $a(t) = 100 - \sin(t)$ . What is the distance travelled by the object from to , if the initial velocity of the object is ?

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