range = 85-41 = 44
so a = 22
period = 2π/k
k = 2π/3
so basic curve could be
y = 22 sin (2π/3 t) + ?
this would have a minimum of -22, but our min is to be 41, so we have to raise it up 63
y = 22 sin (2π/3*t) + 63
looking ok so far .....
https://www.wolframalpha.com/input/?i=plot+y+%3D+22+sin+%282%CF%80%2F3*t%29+%2B+63
You didn't say if you wanted the lowest point to be when t = 0
If you do, you must find the needed phase shift
A mass suspended on a spring will exhibit sinusoidal motion when it moves. If the mass on a spring is 85 cm off the ground at its highest position and 41 cm off the ground at its lowest position and takes 3.0 s to go from the top to the bottom and back again, determine an equation to model the data.
1 answer
1 answer