Respuesta :
The relation of uniform movement allows to find the result for the distance that descended when crossing the river is:
d = 180 m
Given parameters
- The velocity of the river [tex]v_r[/tex] = 8.0 m / s towards the East
- The speed of the monkey [tex]v_m[/tex] = 12.0 m / s towards the south
- River width x = 120 m
To find
- Distance downstream when crossing.
Velocity is a vector magnitude, it has modulus and direction, therefore vector algebra must be used.
The velocities are constant, let's use the uniform motion relation.
v = [tex]\frac{d}{t}[/tex]
In the attached we have a diagram of the movement. Let's calculate the time to cross the river.
[tex]v_r = \frac{x}{t}[/tex]
[tex]t= \frac{x}{v_r}[/tex]
t = [tex]\frac{120}{8.0}[/tex]
t = 15 s
The time is a scalar it is the same for the two movements, let's find how much it has descended in this time.
[tex]v_m = \frac{d}{t}[/tex]
d = [tex]v_m t[/tex]
d = 12.0 15
d = 180 m
In conclusion, using the uniform motion relationship we can find the result for the distance that descended when crossing the river is:
d = 180 m
Learn more here: brainly.com/question/11298125
