Question

refer to the figure below to answer questions 1-3.

1. what is the correct description of any change of position farther to the right of zero?

a. positive displacement
b. positive distance
c. positive position
d. positive change of displacement

1. a dog walks from +4 m to +2 m. which of the following statements is true about the dog’s motion?

a. $x_i = +2$ m
c. $delta x = +2$ m
b. $x_f = +2$ m
d. $v_{avg}=2$ m/s

1. what is the maximum negative displacement a dog could have if it started its motion at +3 m?

a. +7 m
c. -3 m
b. +3 m
d. -7 m
use the number line below to answer the following questions. show all work and yes there is some!

Explanation:

Step1: Define displacement concept

Displacement is change in position. Positive displacement is when final position is to right of initial position. For a position - based number - line with zero as reference, any change of position farther to the right of zero is positive displacement.

Step2: Analyze dog's motion variables

The initial position of the dog is \(x_i = + 4m\) and the final position is \(x_f=+2m\). The displacement \(\Delta x=x_f - x_i=2 - 4=-2m\). We are not given time information to calculate average velocity \(v_{avg}\). So the correct variable for final position is \(x_f = + 2m\).

Step3: Determine maximum negative displacement

If the dog starts at \(x_i = + 3m\), the maximum negative displacement occurs when it moves to the left - most possible position on the number - line. Assuming the number - line has a minimum value of 0 (not given otherwise), the maximum negative displacement \(\Delta x=0 - 3=-3m\).

Answer:

1. a. positive displacement
2. b. \(x_f = + 2m\)
3. c. \(-3m\)