How to find velocity

Practice Questions

CLEP Calculus › How to find velocity

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1

If , what is the velocity at ?

2

Given the equation of the position of a ball at time is , find the velocity of the ball when .

3

The position of a is given by the following functions:

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

Find the velocity.

4

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

5

The velocity function of a particle and a position of this particle at a known time are given by $v(t)=\frac{tan(t)}{t^3}$ . Approximate using Euler's Method and three steps.

6

A particle is defined by the position function, r(t) where t is time:

Find the velocity of the particle at $t=\pi/4$ .

7

The position of a certain point is given by the following function:

$p(t)= 2t^{\frac{1}{2}} + 3e^t +4$

What is the velocity at ?

8

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?

9

The position of a is given by the following functions:

Find the velocity.

10

What is the velocity of a speedboat with a position function $p(t)=9t^{2}+14t+15$ at ?

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