SOLUTION: Help please somebody I'm having a problem with the following question The distance of a body from a point is given by s=xsin(wt+alpha). Show that the velocity and accelerat

Question 23951: Help please somebody
I'm having a problem with the following question
The distance of a body from a point is given by s=xsin(wt+alpha). Show that the velocity and acceleration are given by v=x cos(wt+alpha)and a=-w^2s
Point me in the right direction please
Cheers Paul
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
Given distance s=xsin(wt+alpha).
Show that the velocity and acceleration are
given by v=x cos(wt+alpha)and a=-w^2s

v = ds/dt (derivative of s wrt t)
= x w cos (wt+alpha)(by chain rule)
a = dv/st = -x w^2 sin(wt+alpha)= -w^2 s
something wrong with your typing about v.

Kenny
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