A small boat is moving at a velocity of 3.35 m/s when it is accelerated by a river current perpendicular to the initial direction of motion.If the current acceleration is 0.750 m/s²,what will the new velocity of the boat be after 33.5 s? A)25.3 m/s at 82.4° from initial direction of motion B)25.3 m/s at 7.59° from initial direction of motion C)640.1 m/s at 82.4° from initial direction of motion D)640.1 m/s at 7.59° from initial direction of motion

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Quizplus · Accepted Answer

The boat's velocity components are 3.35 m/s in the initial direction and 0.750 m/s² * 33.5 s = 25.125 m/s perpendicular to it. The resultant velocity is √(3.35² + 25.125²) ≈ 25.3 m/s, and the angle is tan⁻¹(25.125/3.35) ≈ 82.4°.

A Small Boat Is Moving at a Velocity of 3