Total distance? (Phys App of Calc) (1 Viewer)

[spaghettii]

I'm probably going to sound really stupid but

If a question asks "what is the total distance travelled in t seconds", how would one figure this out easily?

If needed I can find an example question, but I'd like a general solution to this problem

 

[BLIT2014]

https://www.khanacademy.org/math/ca...-calc/v/total-distance-traveled-by-a-particle

 

[BLIT2014]

Probably good idea to post an example question to.

 

[spaghettii]

Omg you're a legend

Thank you!!

 

[integral95]

It really depends what equation you're given, if you're given a displacement equation (the example form the khan academy link) it involves subbing points in as you can see.

However, if you're given a velocity equation, you have to find the area under the velocity curve using integration

e.g Your velocity equation is



You want to find the distance travelled in the first 2 seconds.

You compute



Since the area between t = 1 and 2 is below the curve (negative), and you need a positive value of that.

 

[spaghettii]

Oh damn awesome

Thank you!!!

 

[InteGrand]

I'm probably going to sound really stupid but

If a question asks "what is the total distance travelled in t seconds", how would one figure this out easily?

If needed I can find an example question, but I'd like a general solution to this problem