$$\text{distance}/\text{time}^4$$

Estimating the mass of a car as $$\sim 10^3$~\text{kg}$$

Question 1

Which of the following best describes the 'particle model' in physics?

Accepted Answer

An object is represented as a mass at a single point in space.

Question 2

A car travels 60 miles at a constant speed. Convert this distance to kilometers using the conversion $$1~	ext{mi} = 1.609~	ext{km}.$$

Accepted Answer

$$96.54~	ext{km}$$

Question 3

Which of the following quantities is a vector?

Accepted Answer

Velocity

Question 4

A runner moves from $$x = 10~	ext{m} to$$ $$x = 40~	ext{m} in$$ $$5~	ext{s}. $$What is the average velocity?

Accepted Answer

$$5~	ext{m/s}$$

Question 5

Which of the following is NOT a basic SI unit?

Accepted Answer

Gram

Question 6

A ball is thrown straight up. At its highest point, which statement is true?

Accepted Answer

The velocity is zero and the acceleration points downward.

Question 7

The equation $$v = At^3$ - Bt$$ describes the speed $$v of an $$object. What are the dimensions of $$A$$?

Accepted Answer

$$	ext{distance}/	ext{time}^4$$

Question 8

A cyclist slows down from $$20~	ext{m/s} to $$rest in $$4~	ext{s}. $$What is the average acceleration?

Accepted Answer

$$-5~	ext{m/s}^2$$

Question 9

Which of the following statements about significant figures is correct?

Accepted Answer

Trailing zeros in a number with a decimal point are significant.

Question 10

A position-versus-time graph for a car is a straight line with a positive slope. What does this indicate?

Accepted Answer

The car is moving at a constant positive velocity.

Question 11

A measurement is recorded as $$0.0520~	ext{m}. $$How many significant figures does this value have?

Accepted Answer

3

Question 12

Which of the following is a correct rule for dimensional analysis?

Accepted Answer

Quantities can be added or subtracted only if they have the same dimensions.

Question 13

A car accelerates from rest at $$2.0~	ext{m/s}^2$$ for $$2.0~	ext{s}. $$How far does it travel?

Accepted Answer

$$8.0~	ext{m}$$

Question 14

Which of the following best describes the difference between accuracy and precision?

Accepted Answer

Accuracy is how close a measurement is to the true value; precision is how close repeated measurements are to each other.

Question 15

A vector has components $$3~	ext{m}$$ east and $$4~	ext{m}$$ north. What is its magnitude?

Accepted Answer

$$5~	ext{m}$$

Question 16

Which of the following is an example of an order-of-magnitude estimate?

Accepted Answer

Estimating the mass of a car as $$\sim 10^3$~	ext{kg}$$

Question 17

A student walks from $$-5~	ext{m} to$$ $$+4~	ext{m}$$ along a straight line. What is the displacement?

Accepted Answer

$$9~	ext{m}$$

Question 18

Which of the following is a derived SI unit?

Accepted Answer

Meter per second squared

Question 19

If $$y(x,t) = A_0$ e$$^{-\alpha t}$$ \sin(kx - \omega t)$$ describes a vibrating system, what are the SI units of $$k$$?

Accepted Answer

$$1/	ext{m}$$

Chapter 1: Concepts of Motion – Physics with Calculus Study Notes

Study Guide - Practice Questions