The speed of 1.8 km / h is graphically depicted by a vector arrow, 6 cm long

The speed of 1.8 km / h is graphically depicted by a vector arrow, 6 cm long. How long will the vector be, depicting the speed of 1.5 m / s on the same scale?

To solve this problem, you first need to convert the speed value into one value.

Since in 1 km – 1000 meters, and in 1 hour – 3600 seconds, 1.8 km / h will be:

1.8 * 1000/3600 = 0.5 m / s.

Find the ratio of speed.

To do this, we divide the speed of the second vector by the speed of the first.

We get:

1.5 / 0.5 = 3 (speed is 3 times higher).

In this case, the vector length for a speed of 1.5 m / s will also be 3 times longer than for a speed of 0.5 m / s.

In order to determine the length of the vector, we multiply the known length by the difference.

6 * 3 = 18 cm.