Answer:
Explanation:
We can use trigonometry to calculate the northward and westward components of the car's velocity.
The northward component of the car's velocity is given by:
Vnorth = Vcosθ
where V is the magnitude of the velocity (20 m/s) and θ is the angle the velocity makes with the north direction.
Since the car is travelling N 30° W, we can draw a right triangle with the hypotenuse representing the car's velocity, the side opposite the 30° angle representing the northward component, and the adjacent side representing the westward component.
Using trigonometry, we can find the values of the northward and westward components:
Vnorth = Vcosθ = 20 cos(30°) ≈ 17.32 m/s
Vwest = Vsinθ = 20 sin(30°) ≈ 10.00 m/s
Therefore, the component of the car's velocity due north is approximately 17.32 m/s, and the component due west is approximately 10.00 m/s.