AP Quiz Vectors and vertical motion

An object thrown straight up into the air, in the absence of air friction, accelerates at 9.8 m/s2, downward. Which of the following statements is true?

• The object speeds up at 9.8 m/s as it travels upward.

• The object travels 9.8 m during every second if its motion.

• The object travels 9.8 m during the first second of its motion.

• The object’s velocity changes by 9.8 m/s every second of its motion.

• The integral of its acceleration as a function of time is 9.8 m/s.

The graph above shows the positions vs. time for an object traveling along the x-axis. Which graph below shows the velocity vs. time for this same object during the same time period?

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An orange billiard ball is traveling across the surface of a pool table with an initial velocity v1 as shown, when it is struck by another ball. After the collision, the orange ball is traveling with a speed v2 that is greater in speed than v1, and in the direction shown. Which vector below best indicates the direction of the acceleration of the orange ball during this collision?

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A baseball is tossed straight up into the air in the +y direction. Which of the following statements is true at the point where the baseball reaches its greatest height?

• The velocity of the ball is 0 and the acceleration of the ball is negative.

• The velocity of the ball is 0 and the acceleration is 0.

• The velocity of the ball is positive and the acceleration of the ball is negative.

• The velocity of the ball is positive and the acceleration of the ball is 0

• The velocity of the ball is positive and the acceleration of the ball is 0

A vector lying in the xy-plane has components of opposite sign. The vector must lie in which quadrant?

• The first quadrant

• The second quadrant

• The third quadrant

• The fourth quadrant

• Either the second or the fourth quadrant

If B is added to A, under what conditions does the resultant vector have a magnitude equal to A+B?

• The two vectors should be in the same direction

• The two vectors should be opposite of each other

• The two vectors should be perpendicular to each other

• The angle between the two vectors has nothing to do with the magnitude of the resultant vector

Vectors A and B are as shown. Which one of the following correctly shows the resultant of 2B – A?

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A downward moving elevator is slowing down. What is the direction of the acceleration?

• Rightward

• Leftward

• Upward

• Downward

• Not enough information to obtain the direction of the acceleration

Which of the following graphs could represent a velocity-time graph for an object thrown upward.

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A hunter in a forest walks 800 m west. He then turns south and walks 400 m before turning west again

and walking a final 300 m. At the end of the walk, what is the magnitude of the hunter’s displacement from

the beginning?

• 640 m

• 890 m

• 1170 m

• 1390 m

• 1500 m