Answer:
the car is moving clockwise at 30 m/s
Explanation:
For an object moving in circular motion:
- The velocity is always tangential to the circle
- The acceleration (centripetal acceleration) is towards the centre of the circle, so perpendicular to the velocity)
In this case, the velocity is directed due east, while the acceleration is directed due south: so the car is "curved towards south while moving", this means that the car is travelling clockwise.
Moreover, the centripetal acceleration is given by:
[tex]a=\frac{v^2}{r}[/tex]
where
a = 3 m/s^2 is the acceleration
v is the speed
r = 300 m is the radius of the track
Solving for v,
[tex]v=\sqrt{ar}=\sqrt{(3 m/s^2)(300 m)}=30 m/s[/tex]
So the answer is
the car is moving clockwise at 30 m/s
