A motion tracking camera is placed along a rectilinear stretch of a racetrack $($the figure is not to scale$).$ A car C enters the stretch at $A$

with a speed $v_A=124mph$ and accelerates uniformly in time so that at $B$ it has a speed $v_B=175mph,$ where $d=1mi.$ Letting the

distance $L=50ft,$ if the camera is to track $C,$ determine the camera's angular velocity and the time rate of change of the angular

velocity when the car is at A and at $H.($Round the final answers to four decimal places. Include a minus sign if necessary.$)$

The camera's angular velocity at $A$ is

$ra\frac{d}{s}.$

The camera's angular velocity at $H$ is

$(4)ra\frac{d}{s}.$

The camera's time rate of change of the angular velocity at $A$ is

$0{10}^{-4}ra\frac{d}{s^2}$

The camera's time rate of change of the angular velocity at $H$ is

rad$/$s