Acceleration

Practice Questions

CLEP Calculus › Acceleration

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1

Given that the position function of a paper airplane is and its initial veloctiy is $6\frac{ft}{sec}$ find its acceleration at seconds.

2

The velocity of a particle is given by the function . What is the acceleration of the particle at time ?

3

Suppose a particle travels in a circular motion in the xy-plane with

$x(t) = R \cos(\omega t)$

$y(t) = R \sin(\omega t)$

for some constants $\omega, R$ . Notice that this is circular because .

What is the total magnitude of the acceleration, $a = \sqrt{(x'')^2 + (y'')^2}$ ?

4

Given that the position function of a paper airplane is and its initial veloctiy is $6\frac{ft}{sec}$ find its acceleration at seconds.

5

The velocity of a particle is given by the function $v(t)=4e^{cos(3t)}$ . What is its acceleration function?

6

The velocity of an object is given by the following equation:

$v(t)=\frac{3}{2}t^2-\frac{1}{3}t+16$

Find the equation for the acceleration of the object.

7

The velocity of a particle is given by the function . What is the acceleration of the particle at time ?

8

Suppose a particle travels in a circular motion in the xy-plane with

$x(t) = R \cos(\omega t)$

$y(t) = R \sin(\omega t)$

for some constants $\omega, R$ . Notice that this is circular because .

What is the total magnitude of the acceleration, $a = \sqrt{(x'')^2 + (y'')^2}$ ?

9

The velocity of an object is given by the following equation:

$v(t)=\frac{3}{2}t^2-\frac{1}{3}t+16$

Find the equation for the acceleration of the object.

10

The velocity of a particle is given by the function $v(t)=4e^{cos(3t)}$ . What is its acceleration function?

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