Asked by Henry
                A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = π seconds.
Do I have to take the integral of the equation like ∫ sin(2t) where a=0 b=pi
            
        Do I have to take the integral of the equation like ∫ sin(2t) where a=0 b=pi
Answers
                    Answered by
            Reiny
            
    since v(t) = sin (2t)
then s(t) = -(1/2)cos(2t) + c , where s(t) is the distance
when t = 0,
s(0) = -(1/2)cos 0 + c
= c - 1/2
when t = π
s(π) = -(1/2)cos 2π + c
= c - 1/2
distance traveled = s(π) - s(0)
= c - 1/2 - (c - 1/2)
= 0
which is exactly what you would get.
Just a different way of writing it.
    
then s(t) = -(1/2)cos(2t) + c , where s(t) is the distance
when t = 0,
s(0) = -(1/2)cos 0 + c
= c - 1/2
when t = π
s(π) = -(1/2)cos 2π + c
= c - 1/2
distance traveled = s(π) - s(0)
= c - 1/2 - (c - 1/2)
= 0
which is exactly what you would get.
Just a different way of writing it.
                    Answered by
            pablo
            
    whats the answer lol
    
                    Answered by
            Jaden
            
    He specifically says it in the end, learn how to actually ready before making comments like that Pablo lol.
The answer is 0.
    
The answer is 0.
                    Answered by
            Brandon
            
    idk either guys 
    
                    Answered by
            david
            
    you don't know the answer then dont say it you nerd
    
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