**v**||. I could really use some help with how to start solving these specific types of problems as my teacher didn't go over them at all. Sorry in advance for the notation, I don't know how to make it look pretty (Doh)

1.) The speed ||

**v**|| of a particle at an arbitrary time

*t*is given, find the scalar tangential component of acceleration at the indicated time.

||

**v**||=(

*t*^2+e^(

*-*3

*t*))^(1/2);

*t=*0

On this one what I tried to do was find

**v**(

*t*) from ||

**v**||, but I got four variations of

**v**(

*t*)=

*t*

**i**+ e^(-3

*t*)

**j**with a plus or minus sign in front of both the

**i**and

**j**components due to them being squared in the formula for ||

**v**||.

My textbook gives the formula for the scalar tangential component of acceleration as:

a

_{T}is the dot product of

**v**and

**a**divided by the speed ||

**v**||.

2.) The nuclear accelerator at Enrico Fermi Laboratory is circular with a radius of 1km. Find the scalar normal component of acceleration of a proton moving around the accelerator with a constant speed of 2.9 x 10^5 km/s.

On this one I didn't really know what to do, I thought the velocity should be some form of

**v**(

*t*)=cos

*t*i + sin

*t*

**j**but I didn't know where to go from there.

My book gives the formula for the scalar normal component of acceleration as:

a

_{N}=||

**v**x

**a**||/||

**v**||

Thank you!