Question

The coordinates of an object moving in the XY plane vary with time according to the equations  x = −7.43 sin ωt and y = 4.00 − 7.43 cos ωt,

where ω is a constant, x and y are in meters, and t is in seconds.

(a) Determine the components of the velocity of the object at t = 0. (Use the following as necessary: ω.)

(b)  Determine the components of the acceleration of the object at t = 0. (Use the following as necessary: ω.)

(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for ω and t.)

(d) Describe the path of the object in an XY plot.

Answer 1

for speed differentiate position with time.

And same for acceleration diifferentiate speed.

So the shape is hyperbola.in x and y plane