Answer:
Distance between the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]
Let R be the radius and the speed at which the car completes race be w
So,[tex]w=\frac{2\pi}{T}[/tex]
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]
So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]
