Question

A boat moves 3.0 km due north and then moves 1.0 km due south. The time for this trip is half an hour. What is the average velocity of the boat

Answer 1

The average velocity of the boat given the data from the question is 6.32 Km/h

What is velocity?

Velocity is defined as the rate of change of displacement with time. Mathematically, it is expressed as

Velocity = displacement / time

How to determine the resultant displacement

• Displacement 1 (d₁) = 3 Km
• Displacement 2 (d₂) = 1 Km
• Resultant displacement (D) =?

D² = d₁² + d₂²

D² = 3² + 1²

D² = 9 + 1

D² = 10

Take the square root of both sides

D = √10

D = 3.16 Km

How to determine the average velocity

• Resultant displacement = 3.16 Km
• Time = 1/2 hour = 0.5 hour
• Average velocity =?

Average velocity = resultant displacement / time

Average velocity = 3.16 / 0.5

Average velocity = 6.32 Km/h

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