Measurements indicate that boat A has twice the kinetic energy of boat B of the same mass. How fast is boat A traveling if boat B is moving at 34 knots? 1 knotequals1 nautical mile per hour [nmi/h]; 1 nautical mile [nmi]equals6,076 feet [ft].

The speed of the boat-A is 47.84 knots.

Explanation:

Mass of boat-A = m

Mass of boat-B = m

Kinetic energy if the boat-A = E

Kinetic energy if the boat-B = E'

Velocity of boat-A = v = ?

Velocity of boat-B = v'= 34 knots = 34 nautical miles /hour

1 knot = 1 nautical mile per hour

1 nautical mile = 6,076 feet

34 nautical miles /hour = 34 nautical miles /hour × 6,076 ft/miles = 205,564 ft/hour

Kinetic energy of boat-A is given by :

Kinetic energy of boat-A is given by :

..[1]

Kinetic energy of boat-B is given by :

..[2]

E= 2E' (given)

[1] ÷ [2]

v' = 47.84 knots

The speed of the boat-A is 47.84 knots.

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