The velocity (in mi/hr) of a hiker walking along a straight trail is given by v(t)=3sin^2(pi(t)/2), for
0

Question

The velocity (in mi/hr) of a hiker walking along a straight trail is given by v(t)=3sin^2(pi(t)/2), for 
0<t<4 hrs.  Assume s(0)=0.
What is the distance traveled by the hiker in the first 15 minutes of the hike?
What is the hiker's position at t=3?

precal · Answer

Hint:   $$\sin^2t=\frac{1}{2}(1-\cos2t)$$

precal · Answer

@experimentX   
finally I have a physics problem

experimentx · Answer

sorry for late response, i was offline the answer to first question will be http://www.wolframalpha.com/input/?i=integrate+3sin%5E2%28pi*t%2F2%29++from+0+to+15%2F60 miles for second part, t = 3 given, is impossible to calculate exactly without knowing what it's unit it. if it's 3 hrs then, the answer should be http://www.wolframalpha.com/input/?i=integrate+3sin%5E2%28pi*t%2F2%29++from+0+to+3 miles

precal · Answer

Thanks, I will look at these problems tonight.  Thanks for responding.

precal · Answer

http://www.wolframalpha.com/input/?i=integrate+%283%2F2%29%281-cos%282t%29%29dt++from+0+to+15%2F60 Can't I use the hint and then integrate it?

experimentx · Answer

what kind of hint??

precal · Answer

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