Quick Integration Question (1 Viewer)

[Bells88]

So I was integrating as part of a projectile motion question, and v=32cos(p), they had the answer as x=32tcos(p)+C (and then because of the conditions c is 0, which I agree with.

So I was just wonderingthat even though we're integrating with respect to t, we don't integrate the trig part of it? Because I ended up with x=32tsin(p)...I'm not really sure, so anyone have some helpful hints?

 

[Trebla]

Is p a constant? If so, cos(p) is also a constant.

 

[Bells88]

p is theta, so that would be the angle, which is a constant? And that's why we don't integrate it? That seems to make sense

 

[Trebla]

I'm assuming this is in relation to projectile motion? If so, then yes it must be constant because theta is defined as the initial launch angle which is always fixed.

 

[Bells88]

So I was integrating as part of a projectile motion question,

Yep, it's part of projectile motion, so that all makes sense. Thank You!

 

[kayven]

When to integrate from velocity to displacement, you are integrating with respect to time.