Q: A car travels east for 40 m, then west for 30 m. What is the car's displacement from its starting point?

$$10\ \mathrm{m}$$\ \text{east}

Q: Which equation gives the instantaneous velocity $$v as $$the limit of average velocity?

$$v = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t}$$

Question 1

A car travels east for 40 m, then west for 30 m. What is the car's displacement from its starting point?

Accepted Answer

$$10\ \mathrm{m}$$\ 	ext{east}

Question 2

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is always greater than or equal to displacement.

Question 3

A runner completes one lap around a 400 m track in 50 s. What is the runner's average velocity?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 4

A train moves at $$20\ \mathrm{m/s}$$ relative to the ground. A passenger walks forward at $$2\ \mathrm{m/s}$$ relative to the train. What is the passenger's velocity relative to the ground?

Accepted Answer

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

Question 5

Which equation gives the instantaneous velocity $$v as $$the limit of average velocity?

Accepted Answer

$$v = \lim_{\Delta t 	o 0} \frac{\Delta x}{\Delta t}$$

Question 6

A car starts from rest and accelerates uniformly at $$3\ \mathrm{m/s^2$}$$ for $$4\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$12\ \mathrm{m/s}$$

Question 7

A ball is thrown vertically upward with an initial velocity of $$15\ \mathrm{m/s}. $$What is its velocity at the peak of its motion?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 8

A car slows down from $$20\ \mathrm{m/s} to$$ $$10\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

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

Question 9

Which of the following is true about objects in free fall near Earth's surface (neglecting air resistance)?

Accepted Answer

All objects fall with the same acceleration, regardless of mass.

Question 10

A stone is dropped from rest from a cliff and takes $$3\ \mathrm{s} to $$reach the ground. What is the height of the cliff? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$44.1\ \mathrm{m}$$

Question 11

A velocity vs. time graph for an object is a straight line with a positive slope. What does the slope represent?

Accepted Answer

Acceleration

Question 12

A car travels at $$15\ \mathrm{m/s}$$ and slows down at a rate of $$2\ \mathrm{m/s^2$}. $$How long does it take to stop?

Accepted Answer

$$10\ \mathrm{s}$$

Question 13

Which of the following equations is NOT valid for constant acceleration?

Accepted Answer

$$x = x_0$ + v t^2$

Question 14

A ball is thrown straight up with an initial velocity of $$12\ \mathrm{m/s}. $$How long does it take to reach its highest point? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.22\ \mathrm{s}$$

Question 15

A car accelerates from $$5\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is the car's average acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 16

A velocity-time graph has an area under the curve between $$t_1$$ and $$t_2. $$What does this area represent?

Accepted Answer

Displacement

Question 17

A car starts from rest and travels $$100\ \mathrm{m} in$$ $$5\ \mathrm{s}$$ with constant acceleration. What is its acceleration?

Accepted Answer

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

Question 18

A ball is dropped from a height $$h$$ and takes $$t$$ seconds to reach the ground. Which equation correctly relates $$h$$, $$g$$, and $$t$$?

Accepted Answer

$$h = \frac{1}{2} g t^2$

Question 19

A car moves with a constant velocity of $$20\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then stops in $$5\ \mathrm{s}$$ with constant acceleration. What is the magnitude of the acceleration during stopping?

Accepted Answer

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

Question 20

A person walks $$10\ \mathrm{m}$$ east, then $$10\ \mathrm{m}$$ west in $$10\ \mathrm{s}. $$What is their average velocity?

Accepted Answer

$$0\ \mathrm{m/s}$$

Kinematics in One Dimension: Structured Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards