Question

1. sep interpret the data table records the motion of a toy car moving across a floor. the first two columns record positions and corresponding times. the third and fourth columns record speed and velocity for the four 1 - meter distances. some speed and velocity data are missing. complete the table. then explain how to calculate average speed and velocity.

position|time|speed in interval|velocity in interval
---|---|---|---
0 m east|0 s|—|—
1 m east|1 s|1 m/s|1 m/s east
2 m east|2 s||2 m/s east
3 m east|4 s|0.5 m/s|0.5 m/s east
4 m east|8 s|0.25 m/s||

1. illustrate draw a diagram of the path the car took. add labels to show how the car’s speed and velocity changed. label where and when the car had uniform motion. write a caption comparing the velocity and speed of the car in terms of distance, displacement, and direction.

Explanation:

Step1: Calculate missing speed values

Speed is calculated as distance divided by time for each interval. For the second - third row: distance $d = 2 - 1=1$ m, time $t=2 - 1 = 1$ s, so speed $v=\frac{1}{1}=1$ m/s. For the fourth - fifth row: distance $d = 4 - 3 = 1$ m, time $t=8 - 4=4$ s, so speed $v=\frac{1}{4}=0.25$ m/s.

Step2: Calculate average speed

Average speed is total distance divided by total time. Total distance $D = 4$ m, total time $T = 8$ s. Average speed $v_{avg}=\frac{4}{8}=0.5$ m/s.

Step3: Calculate average velocity

Average velocity is total displacement divided by total time. Since the motion is in a straight - line (eastward) and displacement $\Delta x=4$ m (east), total time $T = 8$ s. Average velocity $\vec{v}_{avg}=\frac{4}{8}=0.5$ m/s east.

Answer:

Position	Time	Speed in interval	Velocity in interval
1 m east	1 s	1 m/s	1 m/s east
2 m east	2 s	1 m/s	1 m/s east
3 m east	4 s	0.5 m/s	0.5 m/s east
4 m east	8 s	0.25 m/s	0.25 m/s east

Average speed = 0.5 m/s. Average velocity = 0.5 m/s east.