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.