Question

1. a car travels at a constant velocity of 20 m/s for 10 s.

a. complete table 1 showing the car’s displacement from the origin at the end of each second. graph the motion vs. time, and place appropriate units on the graph.
table 1. distance car travels
t (s) | d (m) | | t (s) | d (m)
1 | | | 6 |
2 | | | 7 |
3 | | | 8 |
4 | | | 9 |
5 | | | 10 |
(graph grid with d and t axes)

Explanation:

Step1: Recall the formula for distance

The formula for distance \( d \) when velocity \( v \) is constant is \( d = v \times t \), where \( v = 20 \, \text{m/s} \).

Step2: Calculate distance for each time

• For \( t = 1 \, \text{s} \): \( d = 20 \times 1 = 20 \, \text{m} \)
• For \( t = 2 \, \text{s} \): \( d = 20 \times 2 = 40 \, \text{m} \)
• For \( t = 3 \, \text{s} \): \( d = 20 \times 3 = 60 \, \text{m} \)
• For \( t = 4 \, \text{s} \): \( d = 20 \times 4 = 80 \, \text{m} \)
• For \( t = 5 \, \text{s} \): \( d = 20 \times 5 = 100 \, \text{m} \)
• For \( t = 6 \, \text{s} \): \( d = 20 \times 6 = 120 \, \text{m} \)
• For \( t = 7 \, \text{s} \): \( d = 20 \times 7 = 140 \, \text{m} \)
• For \( t = 8 \, \text{s} \): \( d = 20 \times 8 = 160 \, \text{m} \)
• For \( t = 9 \, \text{s} \): \( d = 20 \times 9 = 180 \, \text{m} \)
• For \( t = 10 \, \text{s} \): \( d = 20 \times 10 = 200 \, \text{m} \)

Step3: Fill the table

Using the calculated distances, we fill Table 1 as follows:

t (s)	d (m)	t (s)	d (m)
2	40	7	140
3	60	8	160
4	80	9	180
5	100	10	200

Step4: Graphing (Brief)

To graph motion vs. time:

• X - axis (Time): Label with units "s" (seconds), mark values from 0 to 10.
• Y - axis (Distance): Label with units "m" (meters), mark values from 0 to 200 (or appropriate scale).
• Plot points \((1, 20)\), \((2, 40)\), \(\cdots\), \((10, 200)\) and draw a straight line through them (since velocity is constant, the graph is a straight line with slope equal to velocity).

Answer:

Filled Table 1:

t (s)	d (m)	t (s)	d (m)
2	40	7	140
3	60	8	160
4	80	9	180
5	100	10	200

Graph Description:

A straight - line graph with time (t) on the x - axis (units: seconds) and distance (d) on the y - axis (units: meters). The line passes through the points \((t, d)\) where \(t\) ranges from 1 to 10 seconds and \(d = 20t\) meters.