Question 1

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

Accepted Answer

Displacement is the straight-line change in position (can be positive or negative), while distance traveled is the total length of the path (always positive).

Question 2

A car moves from $$x = -3\ \mathrm{m} to$$ $$x = 5\ \mathrm{m} in 4 $$seconds. What is its average velocity?

Accepted Answer

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

Question 3

Which of the following statements about velocity and speed is correct?

Accepted Answer

Speed is the magnitude of velocity and is always positive.

Question 4

If the position of a particle is given by $$x(t) = 4t^2$ - 2t + 1$$, what is the instantaneous velocity at $$t = 3\ \mathrm{s}$$?

Accepted Answer

$$22\ \mathrm{m/s}$$

Question 5

A runner moves in the negative $$x-$$direction with a velocity of $$-5\ \mathrm{m/s}$$ and an acceleration of $$+2\ \mathrm{m/s^2$}. $$What happens to the runner's speed?

Accepted Answer

The runner slows down.

Question 6

Which of the following is the correct SI unit for acceleration?

Accepted Answer

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

Question 7

A car's velocity changes from $$10\ \mathrm{m/s} to$$ $$-5\ \mathrm{m/s} in$$ $$3\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$-3.33\ \mathrm{m/s^2$}$$

Question 8

If $$v_x \u003e 0$$ and $$a_x \u003c 0$$, what is happening to the object's motion?

Accepted Answer

The object is slowing down in the positive $$x-$$direction.

Question 9

Which mathematical operation gives the instantaneous velocity from a position-time function $$x(t)$$?

Accepted Answer

Differentiate $$x(t)$$ with respect to $$t$$

Question 10

A speedometer in a car measures which physical quantity?

Accepted Answer

Instantaneous speed

Question 11

A cyclist rides $$3\ \mathrm{km}$$ east, then $$4\ \mathrm{km}$$ west. What is the cyclist's displacement?

Accepted Answer

$$1\ \mathrm{km}$$ west

Question 12

Which of the following is NOT a reason to study physics, according to the course introduction?

Accepted Answer

It is always easy.

Question 13

If $$x(t) = 2t^3$ - 5t$$, what is the acceleration at $$t = 2\ \mathrm{s}$$?

Accepted Answer

$$24\ \mathrm{m/s^2$}$$

Question 14

Which of the following best describes the meaning of $$x_0 = x$$($$t_0$$)$$?

Accepted Answer

The position at time $$t_0 is$$ $$x_0$$, which may or may not be zero.

Question 15

A ball is thrown straight up. At the highest point, which of the following is true?

Accepted Answer

Velocity is zero and acceleration is negative.

Question 16

Which of the following is a correct interpretation of the slope of a position vs. time graph?

Accepted Answer

It gives the object's instantaneous velocity.

Question 17

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

Accepted Answer

$$0\ \mathrm{km/h}$$

Question 18

Which of the following is a fundamental reason why physics is considered the most basic science?

Accepted Answer

It deals with the behavior and structure of matter.

Lecture 1: Motion in One Dimension – Foundations of Kinematics

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