Spatial Calculus

Practice Questions

CLEP Calculus › Spatial Calculus

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1

Find a vector perpendicular to .

2

The position of a is given by the following functions:

$p(t) = - \cos(3t - 6)$

Find the velocity.

3

Find a vector perpendicular to .

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

If , what is the velocity at ?

6

The velocity of a driver is given by the following vector:

$\overrightarrow{U}=\left(\frac{t^2}{t^2+1},e^{-t^2},artan(t^2)\right)$

What velocity will she or he reach in the long run?

7

The position of a is given by the following functions:

Find the velocity.

8

A car with an initial velocity of $10\frac{m}{s}$ begins to accelerate at a rate of $5\frac{m}{s^2}$ . How many meters will the car travel in the interval of time starting one second after it begins to accelerate and ending four seconds after it begins to accelerate?

9

A given object has a position that is defined by the equation $p(t)=5t^{2}-4t+3$ . What is its velocity at ?

10

If the velocity function of a car is , what is the position when ?

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