Question

speed problems
match the graph that best fits the motion from the data table.

time (sec)	distance (m)
5	15
10	30
15	45
20	60

Explanation:

Step1: Calculate the speed

The speed $v=\frac{\text{Distance}}{\text{Time}}$. For example, when $t = 5$ s and $d=15$ m, $v=\frac{15}{5}=3$ m/s. Checking other data - points: when $t = 10$ s and $d = 30$ m, $v=\frac{30}{10}=3$ m/s; when $t=15$ s and $d = 45$ m, $v=\frac{45}{15}=3$ m/s; when $t = 20$ s and $d=60$ m, $v=\frac{60}{20}=3$ m/s. The speed is constant.

Step2: Analyze the graph - types

A constant - speed motion has a linear distance - time graph with a non - zero slope. The first graph (top - left) shows a straight line passing through the origin with a constant slope, which represents a constant - speed motion. The second graph (top - right) shows a decreasing distance with time, which is not the case here. The third graph (bottom - left) shows a zero - speed motion (distance is constant over time). The fourth graph (bottom - right) shows a non - constant speed (the slope of the curve is changing).

Answer:

The top - left graph.