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
1 m east	1 s	1 m/s	1 m/s east
2 m east	2 s	1 m/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	0.25 m/s east

ustrate 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: Recall speed formula

Speed = $\frac{\text{distance}}{\text{time}}$. For example, between 0 m and 1 m (distance = 1 m), time from 0 s to 1 s (time interval = 1 s), speed = $\frac{1\ m}{1\ s}=1\ m/s$.

Step2: Recall velocity formula

Velocity is speed with direction. Since the car moves east - ward throughout, direction is east. For example, between 2 m and 3 m, distance = 1 m, time from 2 s to 4 s (time interval = 2 s), speed = $\frac{1\ m}{2\ s}=0.5\ m/s$, velocity = $0.5\ m/s$ east.

Step3: Calculate average speed

Average speed = $\frac{\text{total distance}}{\text{total time}}$. Total distance = 4 m, total time = 8 s, average speed = $\frac{4\ m}{8\ s}=0.5\ m/s$.

Step4: Calculate average velocity

Average velocity = $\frac{\text{total displacement}}{\text{total time}}$. Total displacement = 4 m east, total time = 8 s, average velocity = $\frac{4\ m}{8\ s}=0.5\ m/s$ east.

Answer:

Average speed = 0.5 m/s, Average velocity = 0.5 m/s east. To draw the diagram: Draw a straight - line pointing east. Mark points at 0 m, 1 m, 2 m, 3 m, 4 m. Label the intervals with the corresponding speeds and velocities. The car has uniform motion between 0 m and 1 m (speed and velocity are constant at 1 m/s and 1 m/s east respectively). Caption: Speed is a scalar quantity and is calculated as total distance divided by total time. Velocity is a vector quantity, calculated as total displacement (which has both magnitude and direction) divided by total time. In this case, since the car moves in a straight - line in one direction, the magnitude of average speed and average velocity is the same, but velocity also includes the direction (east).