SOLUTION: A motorboat heads straight across a river in the x-direction at 16m/s. The river flows downstream at 9.0m/s in the y direction. a) what is the total velocity of the boat (speed

Algebra ->  Formulas -> SOLUTION: A motorboat heads straight across a river in the x-direction at 16m/s. The river flows downstream at 9.0m/s in the y direction. a) what is the total velocity of the boat (speed       Log On


   

Question 1165015: A motorboat heads straight across a river in the x-direction at 16m/s. The river flows downstream at 9.0m/s in the y direction.
a) what is the total velocity of the boat (speed and direction) answer: 18.36m/s, 29.36 degrees below x-axis
b) if the river is 136 m wide, how long does it take the motorboat to reach the other side (8.5s)
c) how far downstream is the boat when it reaches the other side of the river (76.5m)
could you show me the approach, prob create a table with all the x values and y values and solve from there >> thanksss
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Resultant velocity magnitude:

Resultant velocity direction: you can represent this as an angle in the range or

Time to reach the other side: Divide the distance across by the magnitude of horizontal component of the velocity.

Distance downstream: Multiply the time value from the previous part by the magnitude of the downstream component of the velocity

John

My calculator said it, I believe it, that settles it