Final answer:
The displacement of the racing car in 30 seconds is 3000 meters northwest.
Step-by-step explanation:
To find the displacement of the racing car in 30 seconds, we need to first convert the velocity from km/h to m/s. We know that 1 km is equal to 1000 m and 1 hour is equal to 3600 seconds, so we can convert 360 km/h to m/s by multiplying it by (1000/3600), which gives us a velocity of 100 m/s.
Since the car is moving northwest, it is important to remember that vectors have both magnitude and direction. In this case, the magnitude of the velocity is 100 m/s and the direction is northwest.
To find the displacement, we can use the formula: displacement = velocity x time. Plugging in the values, we get: displacement = (100 m/s) x (30 seconds) = 3000 meters northwest.