Find the distance traveled by an object on the interval [0, 5] if its velocity is v(t)= sin ( pie/3 t)
a. 21/2pie
b. 3/2pie
c. 7/2
d. 1/2
It's multiple choice of the above from a - d which one is the answer? I know it's intergrals, and I have to compute the intergral of the function and plug in the points on the intergral. But my calculator was refusing the compute Help anyone?

Question

Find the distance traveled by an object on the interval [0, 5] if its velocity is v(t)= sin ( pie/3 t)
a. 21/2pie
b. 3/2pie
c. 7/2
d. 1/2 
It's multiple choice of the above from a - d which one is the answer? I know it's intergrals, and I have to compute the intergral of the function and plug in the points on the intergral. But my calculator was refusing the compute Help anyone?

anonymous · Answer

you are doing math with food i think its spelt pi

anonymous · Answer

LOL sorry! yes it's pi I was in a hurry. My bad.

lgbasallote · Answer

sounds like an integral questin

anonymous · Answer

shold be b

lgbasallote · Answer

$$\huge \int_0^5 \sin (\frac{\pi}{3t}) dt$$
is that how it looks like?

lgbasallote · Answer

or $$\huge\int_0^5 \sin (\frac{\pi}{3} t) dt$$

anonymous · Answer

This is how it looks like.

anonymous · Answer

$$\int_0^3\sin(\frac{\pi t}{3})dt-\int_3^5\sin(\frac{\pi t}{3})dt$$

anonymous · Answer

http://www.wolframalpha.com/input/?i=integral+0+to+3+sin%28pix%2F3%29dx+-+integral+3+to+5+sin%28pix%2F3%29dx+

anonymous · Answer

reason for breaking up the interval in to two parts is that first is is going forward and then it is going backwards

anonymous · Answer

Thanks man! :D you are one smart one! :D means a lot!