Let (-) = theta The coordinates of an object moving in the xy plane vary with ti

Question

Let (-) = theta

The coordinates of an object moving in the xy plane vary with time according to the equations

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

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

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: (-) and t.)

r=

v=

a=

Explanation / Answer

Let (-)=a

x=8.4sinat

y=8.4cosat

So

r=8.4sinat i +8.4cosat j

A)v=dr/dt=8.4acosat i -8.4asinat j

vx=8.4acosat

vy= -8.4asinat

B)a=dv/dt=-8.4a^2sinat i - 8.4a^2cosat j

ax=-8.4a^2sinat

ay=- 8.4a^2cosat

C) Done already :)

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