The position of a particle as a function of time is given by x=Acosbt, where A and b are constants. The first question asks to roughly plot the position of the particle over the time interval (0,7) seconds.
The second asks what time the particle passes the origin, and what it's velocity and acceleration are at that time.
The third asks what time the particle reaches maximum distance from the origin, and what it's acceleration and velocity are at that instant.
Variables given: A=2.0m, b=1.0 radians/second
The Attempt at a Solution
I got stuck in the very beginning and couldn't continue. I tried to plug in the values for the constants A and b, but upon doing so I find that I end up with cos(7 radians). I don't know how to calculate the value of cosine when I have no reference of how long one radian is.