Final answer:
The magnitude of the resultant velocity of a ship moving north at 100 km/hr and a river flowing east at 25 km/hr is approximately 103.058 km/hr, computed using the Pythagorean Theorem.
Step-by-step explanation:
To calculate the magnitude of the resultant velocity of the ship moving north at 100 km/hr and a river flowing east at 25 km/hr, we can use the Pythagorean Theorem. This theorem helps us find the resultant velocity when dealing with two perpendicular vectors.
The magnitude of the resultant velocity (Vresultant) can be calculated using the formula:
Vresultant = √(Vship² + Vriver²)
where:
- Vship is the velocity of the ship (100 km/hr)
- Vriver is the velocity of the river (25 km/hr)
Plugging in the values, we get:
Vresultant = √(100² + 25²) = √(10000 + 625) = √(10625) = 103.058 km/hr
Therefore, the resultant velocity of the ship is approximately 103.058 km/hr.