How to find acceleration

Practice Questions

CLEP Calculus › How to find 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

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.

4

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

5

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, $a = \sqrt{(x'')^2 + (y'')^2}$ ?

6

If the position function of an object is , what is its acceleration function?

7

Find the acceleration at given the following position function.

8

The velocity of an object is given by the equation . What is the acceleration of the object at time ?

9

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

$v(t)=\frac{3}{7}t^2-\frac{1}{14}t+5$

Find the acceleration of the object at seconds.

10

Function gives the velocity of a particle as a function of time.

$\small \small v(t)=t^5+3t^4-\frac{7t^2}{3}$

Find the acceleration (in meters per second per second) of the particle at seconds.

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