A car travels 300 m [N] along a road, then turns a corner and drives an additional 400 m [E].

Draw a vector diagram of the path travelled by the car, and then calculate the car's distance
travelled and its displacement.

The displacement is 500m and the distance is 1200m. Am I correct?

Distance Traveled = 300 + 400 = 700 mi.

Displacement = sqrt(300^2+400^2) = 500 m

To draw a vector diagram of the path traveled by the car, we start with a reference point (usually represented by a dot or an arrow). Assume that the reference point represents the car's initial position.

First, draw a vector representing the car's movement of 300 m north (in the upwards direction) from the reference point. Label this vector as 300 m [N].

Next, starting from the end of the first vector, draw a second vector representing the car's movement of 400 m east (in the right direction) from the end of the first vector. Label this vector as 400 m [E].

At this point, you should have two vectors originating from the initial reference point. The first vector points upwards and is labeled 300 m [N]. The second vector points towards the right and is labeled 400 m [E]. The two vectors do not form a triangle since they are not connected tail-to-head.

Now let's calculate the car's distance travelled and displacement:

Distance traveled:
To calculate the distance traveled, we need to find the total length of the path the car has traveled. In this case, the car first traveled 300 m north, then turned right and traveled an additional 400 m east.

The distance traveled is the sum of the lengths of these two movements:
Distance traveled = 300 m + 400 m = 700 m

So the car traveled a total distance of 700 meters.

Displacement:
Displacement refers to the straight-line distance in a particular direction from the starting point to the ending point.

To calculate the displacement, we need to find the straight-line distance between the initial reference point and the final position of the car. We can do this by drawing a straight line connecting the initial reference point to the end point of the car's path.

In this case, the displacement is the distance between the starting point and the end point of the car's path, which can be calculated using the Pythagorean theorem:

Displacement = √((300 m)² + (400 m)²)
Displacement = √(90000 m² + 160000 m²)
Displacement = √(250000 m²)
Displacement = 500 m

So the car's displacement is 500 meters.

Therefore, your values for the displacement (500 m) and the distance traveled (700 m) are incorrect. The correct values are a displacement of 500 meters and a distance traveled of 700 meters.