Problem Finding the Speed of Particle (Vector)

Hey everyone,

I am having a bit of difficulty solving this problem. It says:

A particle has position function . What is its speed at time t?

Well I first took the derivative of the function. Then I took the magnitude to find the length which corresponds to the speed. I got my answer to be

, is this answer correct? If so, how would I further simplify it? If it is incorrect, what am I doing wrong?

Any help and feedback is greatly appreciated, thanks.

Re: Problem Finding the Speed of Particle (Vector)

Hello, Beevo!

It can be simplified . . .

. . . . . . . . . . . . .

Re: Problem Finding the Speed of Particle (Vector)

Quote:

Originally Posted by

**Beevo** Hey everyone,

I am having a bit of difficulty solving this problem. It says:

A particle has position function

. What is its speed at time t?

Well I first took the derivative of the function. Then I took the magnitude to find the length which corresponds to the speed. I got my answer to be

, is this answer correct? If so, how would I further simplify it? If it is incorrect, what am I doing wrong?

Any help and feedback is greatly appreciated, thanks.

Looks good to me, unless you have to use hyperbolic functions to simplify.

-Dan

PS okay I should have seen that one coming Soroban! Thanks.

Re: Problem Finding the Speed of Particle (Vector)

Thanks for the feedback guys. The simplification part just kind of threw me off.

Re: Problem Finding the Speed of Particle (Vector)

Okay, I'm confused! Where did that "8" come from? With the position ,I get the velocity to be and so the speed is

Re: Problem Finding the Speed of Particle (Vector)

Quote:

Originally Posted by

**HallsofIvy** Okay, I'm confused! Where did that "8" come from? With the position

,I get the velocity to be

and so the speed is

My fault, there should be a 't' after