Question 1

A person walks from $$x_i = 2 m to$$ $$x_f = 7 m $$along a straight path. What is the displacement of the person?

Accepted Answer

$$5 m$$

Question 2

A runner starts at the origin and runs to the grocery store, which is $$4.3$$ miles away, then returns home. What is the total distance traveled and the displacement?

Accepted Answer

Distance: $$8.6 mi$$, Displacement: $$0 mi$$

Question 3

Which of the following statements about displacement is correct?

Accepted Answer

Displacement depends only on the initial and final positions, not on the path taken.

Question 4

A car moves from $$x = -3 m to$$ $$x = 5 m in$$ $$4 s. $$What is the average velocity?

Accepted Answer

$$2 m/s$$

Question 5

Given the position-time data: $$t = 0 s$$, $$x = 1 m$$; $$t = 4 s$$, $$x = -1 m. $$What is the average velocity?

Accepted Answer

$$-0.5 m/s$$

Question 6

A sprinter runs $$100 m in$$ $$10 s$$, then jogs back $$150 m in$$ $$40 s. $$What is her average speed for the total trip?

Accepted Answer

$$5.0 m/s$$

Question 7

What is the SI unit for acceleration?

Accepted Answer

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

Question 8

If the slope of a position vs. time graph is negative, what does this indicate about the object's motion?

Accepted Answer

The object is moving in the negative $$x$$ direction.

Question 9

A car accelerates from rest to $$27.8 m/s in$$ $$2.6 s. $$What is its average acceleration?

Accepted Answer

$$10.7 m/s$^2$$

Question 10

Which of the following best describes instantaneous velocity?

Accepted Answer

The slope of the tangent line at a point on a position vs. time graph.

Question 11

A particle moves from $$x = 1 m at$$ $$t = 0 s to$$ $$x = 3 m at$$ $$t = 1 s$$, then to $$x = 4 m at$$ $$t = 2 s$$, $$x = 2 m at$$ $$t = 3 s$$, and $$x = -1 m at$$ $$t = 4 s. $$What is the average velocity between $$t = 1 s $$and $$t = 4 s$$?

Accepted Answer

$$-1.33 m/s$$

Question 12

Which of the following is always true about average speed?

Accepted Answer

It is always positive.

Question 13

If a car's velocity changes from $$10 m/s to$$ $$-5 m/s in$$ $$3 s$$, what is its average acceleration?

Accepted Answer

$$-5 m/s$^2$$

Question 14

Which of the following quantities is a scalar?

Accepted Answer

Distance

Question 15

A car travels $$100 m $$east, then $$100 m $$west in $$50 s. $$What is the average velocity?

Accepted Answer

$$0 m/s$$

Question 16

Which of the following best describes average acceleration?

Accepted Answer

$$a_{av} = \frac{v_f - v_i}{t_f - t_i}$$

Question 17

A car moves with a constant velocity of $$20 m/s $$for $$10 s. $$What is its acceleration?

Accepted Answer

$$0$$ $$m/s^2$

Question 18

Which of the following is true about instantaneous speed?

Accepted Answer

It is the magnitude of instantaneous velocity.

Question 19

A car starts from rest and accelerates uniformly to $$30 m/s in$$ $$5 s. $$What is its acceleration?

Accepted Answer

$$6$$ $$m/s^2$

Question 20

If the position of a particle is given by $$x(t) = 4t^2$, what is the instantaneous velocity at t = 3$ s?

Accepted Answer

$$24 m/s$$

One-Dimensional Kinematics: Position, Displacement, Velocity, and Acceleration

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