I need some help with my high school maths question:
A particle is moving in simple harmonic motion has speed 12m/s at the origin. Find the displacement-time equation if it is known that for positive constants a and n:
- $x=a\cos 8t$
- $x=16\cos nt$
So far this is what I know: The particle has a speed of 12m/s at the origin so when t=0, v=12. The origin is where the maximum speed occurs (Or is it at the centre of the motion?).