PHY131H1 Lecture 16: PHY131 Oct 11

a buzzing fly moves in a helica path given by the equation

r(t)= b sin(wt)i + b cos(wt)j + ct^2k

Where b,w and c are constant. show that |a| is constant where a=the acceleration

I see that phi is our given face shift, but how does it apply to the formula Y(x,t)= Ym*Sin(kx-wt+(phi))

The coordinates of an object moving in the xy plane vary with timeaccording to x= -(5.00 m) sin(wt) and y= (4.00 m) - (5.00m)cos(wt), where w is a constant and t is in seconds.
a) Determine the components of velocity and components ofaccelerationof the object at t=0.
b) Write expressions for the position vector, the velocity vector,and the acceleration vector of the object at any time t>0.
c) Descibe the path of the object in an xy plot.