We will see that Leonel's absolute speed is 17.35 km/h.
How to find the absolute speed?
First, we need to define our axis or coordinates, let's assume that Leonel is moving to the positive x-direction.
Then we can write Leonel's velocity as:
Lv = (4 km/h, 0km/h)
The boat moves at 15 km/h at 60° counterclockwise, then the components of the boat velocity are:
- Bx = 15km/h*cos(60°) = 7.5 km/h
- By = 15km/h*sin(60°) = 12.99 km/h.
The boat velocity is:
Bv = (7.5 km/h, 12.99 km/h)
Leone's absolute velocity would be the sum of his walking velocity plus the boat velocity
Absolute velocity = Lv + Bv = (4 km/h, 0km/h) + (7.5 km/h, 12.99 km/h)
Absolute velocity = (4km/h + 7.5km/h, 12.99 km/h)
Absolute velocity = (11.5 km/h, 12.99 km/h)
The magnitude of the absolute velocity (or the absolute speed) is:
M = √[ (11.5 km/h)^2 + (12.99 km/h)^2] = 17.35 km/h
If you want to learn more about speed you can read:
https://brainly.com/question/4931057
