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Classical Mechanics

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Moderate

Boat On The Water

CLMECH-4EYZLY

A boat is initially drifting with a velocity of 2.0 m/s north across a lake when the wind begins to blow. After the wind blows for 20 seconds, the boat has a velocity of 3 m/s in a direction $30^\circ$ east of north. What is the magnitude and direction of the average acceleration of the boat?

A

$0.15\space m/s^2$ at $30^\circ$ east of north

B

$0.15\space m/s^2$ at $60^\circ$ east of north

C

$0.081\space m/s^2$ at $68^\circ$ east of north

D

$0.081\space m/s^2$ at $22^\circ$ east of north