Required information
The radar station at O is tracking a meteor P as it moves through the atmosphere. At the instant shown, the station measures the following data for the motion of the meteor: $r = 21300 \text{ ft}$, $\theta = 40^\circ$, $\dot{r} = -22440 \text{ ft/s}$, $\dot{\theta} = -2.935 \text{ rad/s}$, $\ddot{r} = 187500 \text{ ft/}s^2$, and $\ddot{\theta} = -5.409 \text{ rad/}s^2$.
Determine the magnitude and direction (relative to the xy coordinate system shown) of the acceleration vector at this instant. (Round the final answers to four decimal places.)
The magnitude of the acceleration vector is 16992.7271 ft/s$^2$.
The orientation of $\vec{a}$ from the x axis is 91.79$^\circ$.
