Posted by Jamie on Saturday, June 7, 2014 at 12:00pm.
An object with an initial position of x(0) = 3 has a velocity of v(t) =sin(t). Find its position at t =2.

Calculus  Steve, Saturday, June 7, 2014 at 12:02pm
x(t) = cos t + c
now you know that x(0) = 3, so plug in t=0 to find c.
Then you can use t=2 to get x(2)

Calculus  Jamie, Saturday, June 7, 2014 at 12:06pm
So the answer would be cos(2)+4=4.416?

Calculus  Steve, Saturday, June 7, 2014 at 12:13pm
Looks good to me.
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