Question 1

Which of the following statements best describes the difference between distance and displacement for an object moving along a straight line?

Accepted Answer

Distance is always positive and measures the total path length, while displacement can be positive, negative, or zero and measures the straight-line change from initial to final position.

Question 2

A car moves from $$x = 2.0\ \mathrm{m} to$$ $$x = 5.0\ \mathrm{m} in$$ $$3.0\ \mathrm{s}$$, then reverses and moves to $$x = 1.0\ \mathrm{m} in $$another $$2.0\ \mathrm{s}. $$What is the total distance traveled by the car?

Accepted Answer

$$7.0\ \mathrm{m}$$

Question 3

Suppose you walk $$2\ \mathrm{m}$$ forward and $$3\ \mathrm{m}$$ backward along the $$x-$$axis. What is your displacement?

Accepted Answer

$$-1\ \mathrm{m}$$

Question 4

A runner travels $$10\ \mathrm{km}$$ from point $$P to$$ $$Q at$$ $$10\ \mathrm{km/h}$$ and another $$10\ \mathrm{km}$$ from $$Q to$$ $$R at$$ $$20\ \mathrm{km/h}. $$What is the average speed for the entire $$20\ \mathrm{km}$$ trip?

Accepted Answer

$$13.3\ \mathrm{km/h}$$

Question 5

Which of the following quantities is a vector?

Accepted Answer

Average velocity

Question 6

If the position of an object as a function of time is given by $$x(t) = 3t^2$ + 2t + 1$$, what is the instantaneous velocity at $$t = 2\ \mathrm{s}$$?

Accepted Answer

$$v = 14\ \mathrm{m/s}$$

Question 7

A car travels $$100\ \mathrm{km}$$ east in $$2\ \mathrm{h}$$, then $$50\ \mathrm{km}$$ west in $$1\ \mathrm{h}. $$What is the average velocity for the entire trip?

Accepted Answer

$$16.7\ \mathrm{km/h}$$\ east

Question 8

Which of the following best describes the meaning of the slope of a position vs. time graph?

Accepted Answer

The object's instantaneous velocity

Question 9

A ball is dropped from rest from a height of $$20\ \mathrm{m}. $$Neglecting air resistance, how long does it take to reach the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 10

A car accelerates from $$0 to$$ $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 11

A person throws a ball straight up. At the highest point of its trajectory, which of the following is true?

Accepted Answer

Velocity is zero, but acceleration is nonzero.

Question 12

A car moves with constant velocity $$v_x = 3\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. If $$its initial position is $$x_i = 2\ \mathrm{m}$$, what is its final position?

Accepted Answer

$$x_f = 32\ \mathrm{m}$$

Question 13

Which of the following statements about vectors is correct?

Accepted Answer

Vectors have both magnitude and direction.

Question 14

A train moves along a straight track. Its position vs. time graph is a straight line with a positive slope. What does this indicate about the train's motion?

Accepted Answer

The train is moving at constant velocity in the positive direction.

Question 15

If the velocity of an object is given by $$v_x = 4t$$, what is the acceleration?

Accepted Answer

$$a_x = 4\ \mathrm{m/s^2$}$$

Question 16

A ball is thrown downward from the top of a tower with an initial speed of $$10\ \mathrm{m/s}. $$What is its speed $$2\ \mathrm{s}$$ after release? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$29.6\ \mathrm{m/s}$$

Question 17

Which of the following is true for an object moving with constant acceleration?

Accepted Answer

The velocity vs. time graph is a straight line.

Question 18

A car is moving in the negative $$x$$ direction and is slowing down. What is the direction of its acceleration?

Accepted Answer

Positive $$x$$ direction

Question 19

A child slides down a frictionless incline of height $$h. $$Another child slides down a different incline of the same height but at a steeper angle. Which child has the greater speed at the bottom?

Accepted Answer

Both have the same speed

Motion in One Dimension: Concepts, Graphs, and Vectors

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