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Classical Mechanics - Speed of a Ferry and Parabolic Curve of a ball

A ferry can travel at an optimal speed of 8 km/h in still water measured relative to the shore. What is the optimal speed of the ferry, relative to the shore, if it moves perpendicular to a 6 km/h current?

A 4 km/h
B 8 km/h
C 10 km/h
D 14 km/h
E 28 km/h

A baseball is hit upward and travels along a parabolic arc before it strikes the ground. Which one of the following statements is necessarily true?

A The acceleration of the ball decreases as the ball moves upward.
B The velocity of the ball is zero m/s when the ball is at the highest point in the arc.
C The acceleration of the ball is zero m/s2 when the ball is at the highest point in the arc.
D The x-component of the velocity of the ball is the same throughout the ball's flight.
E The velocity of the ball is a maximum when the ball is at the highest point in the arc.

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Solution Summary

Two question: one pertaining to the optimal speed of a ferry along a shore and the other is to do with the parabolic curve of a baseball hit upwards.

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