Question

A boat traveling north 13.4 m/s. The captain walks north on the deck at 1.3 m/s. What is her resu

velocity? (Velocity=Distance /Acceleration)
4. Find the velocity, in kilometers per hour, of a dolphin that swims 55 m in 5.0 s. (Velocity=Dista​

Answer 1

The resultant velocity of the captain on a boat traveling north would be 14.7 m/s north. The velocity of a dolphin that swims 55 m in 5.0 s would be 11 m/s, which converts to 39.6 km/h.

Step-by-step explanation:

The question concerns the concept of relative velocity in physics, specifically within the context of a boat's captain moving on the deck and a dolphin's swimming speed. When the captain walks north on the deck of the boat at 1.3 m/s while the boat itself is traveling north at 13.4 m/s, her resultant velocity relative to the ground would simply be the sum of both velocities. For the second part of the question, to find the velocity of a dolphin, you divide the distance covered by the time taken.

Adding Velocities: Captain on the Boat

The resultant velocity of the captain is calculated as follows:
Velocity Captain Relative = Velocity Boat + Velocity Captain on Deck
= 13.4 m/s + 1.3 m/s
= 14.7 m/s north

Velocity of a Dolphin

For the dolphin's velocity, we calculate:
Velocity dolphin = Distance / Time
= 55 m / 5.0 s
= 11 m/s
To convert this to kilometers per hour (km/h), we use the conversion factor where 1 m/s is equal to 3.6 km/h. Thus,
Velocity dolphin, km/h = 11 m/s * 3.6 km/h per m/s
= 39.6 km/h

Answer 2

The resultant velocity is 360.81 m/s and the velocity of the dolphin swims is 11 m/s

Step-by-step explanation:

The boat travelling is 13.4 m/s

The captain walks on the deck is 1.3 m/s

The resultant velocity = a² + b² = c²

= 13.4² + 1.3²

= 179.56 + 1.69

c² =
`√(181.25\\)`

c= 360.81 m/s

To find the velocity, the dolphin swims in 55 m and the acceleration is 5.0 s

velocity = distance / acceleration

=
`(55)/(5.0)`

= 11 m/s

Therefore, the velocity is 11 m/s.