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Grade 11Mechanics

A boat is sent across a river with a velocity of 8 km/h .If the resultant velocity of boat is 10 km/he then velocity of river water is

Priyanka Dabade

9 Years agoGrade 11

2 Answers

Vidura

9 Years ago

The boat’s velocity and the river velocity will give the boat a new resultant velocity.

As the boat’s velocity is perpendicular to river velocity,

Assume that,

V_B= Velocity of boat

V_R= Velocity of river

Apply pythagoras theoram,

Resultant velocity² = V_B²+ V_R²

10² = 8² + V_R²

100 = 64 + V_R²

V_R²= 36

V_R= 6 km/h

Rishi Sharma

5 Years ago

Dear Student,
Please find below the solution to your problem.

The boat’s velocity and the river velocity will give the boat a new resultant velocity.
As the boat’s velocity is perpendicular to river velocity,

Assume that,
VB= Velocity of boat
VR = Velocity of river

Apply pythagoras theoram,

Resultant velocity^2 = VB^2+VR^2
10^2=8^2+VR^2
100 = 64 +VR^2
VR^2 = 36
VR = 6 km/h

Thanks and Regards

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