NickBasurto624
contestada

A boat is traveling with a velocity of 18 meters/second relative to water and the river is flowing at a velocity of 2.5 meters/second relative to the shore. What will be the velocity of the boat if the boat and the water are in opposite directions?

Respuesta :

kkeaeman
Vt = Vboat - Vriver 
Vt = 18 - 2.5 = 15.5 m/s 

If the boat's direction is the same as the water, you sum the velocities of the river and the boat . 

Answer:Velocity of boat is 15.5 [tex]\frac{m}{s}[/tex]

Explanation:Using equation of relative motion

[tex]V_{boat,water}=V_{boat}-V{water}[/tex]

=>[tex]V_{boat}=V_{boat,water}+V_{water}[/tex]

where velocity of boat relative to water , [tex]V_{boat,water}[/tex]=18 m/s

velocity of water, [tex]V_{water}=-2.5\frac{m}{s}[/tex]

and velocity of boat , [tex]V_{boat}=? \frac{m}{s}[/tex] to be calculated.

Putting the known values in the above equation , we get

[tex]V_{boat}= (18-2.5)\frac{m}{s}=15.5\frac{m}{s}[/tex]