Question

phyzspringboard: lm1 little dudes 1 - position suppose something is moving. if you collect corresponding clock reading and position measurements, these numbers form ordered pairs that can easily be graphed. consider the various little dudes shown below. they exist and move along a sidewalk marked in 1 - meter increments. we are given snapshots of them at regular time intervals. follow the instructions given below to construct and analyze position vs. clock reading graphs. 1. complete the data table to the right based on the diagrams of walking dude below. 00:00 00:02 00:04 00:06 00:08 2. write the equation for finding speed (v) when given a displacement (difference between two positions x1 and x2) and the corresponding interval (difference between two clock readings t1 and t2). after writing the equation, apply it to find the speed of walking dude. 3. plot the points from the data table on the graph provided below. position vs. clock reading 4. what assumptions about walking dude would we have to make if we wanted to connect the dots on the graph to form a straight, continuous line?

Explanation:

Step1: Recall speed - formula

The formula for speed $v$ is $v=\frac{x_2 - x_1}{t_2 - t_1}$, where $x_2$ and $x_1$ are positions and $t_2$ and $t_1$ are clock - readings.

Step2: Select data points

Let $x_1 = 4m$, $t_1 = 2s$, $x_2 = 12m$, $t_2 = 6s$.

Step3: Calculate speed

$v=\frac{12 - 4}{6 - 2}=\frac{8}{4}=2\frac{m}{s}$.

Step4: Answer question about graph assumptions

To connect the dots on the graph to form a straight, continuous line, we assume that the Walking Dude moves with a constant speed (uniform motion) between the measured points. There is no acceleration or deceleration between the time intervals for which we have data, and the motion is smooth without any sudden jumps or stops.

Answer:

1. The data table is already completed as shown in the image:

Clock Reading t(s)	Position x(m)
2s	4m
4s	8m
6s	12m
8s	16m

1. The formula for speed is $v = \frac{x_2 - x_1}{t_2 - t_1}$, and the speed of the Walking Dude is $2\frac{m}{s}$.
2. The points are already plotted as shown in the image.
3. We assume that the Walking Dude moves with a constant speed (uniform motion) between the measured points, with no acceleration or deceleration and smooth motion without sudden jumps or stops.