Question

the distance vs. time graph below represents the motion of a toy car. distance vs. time what was the total distance traveled between the 4th second and the 9th second? 8 m 10 m 18 m 20 m

Explanation:

Step1: Find distance at 4th second

From the graph, at \(t = 4s\), \(d_1=8m\)

Step2: Find distance at 7th second

At \(t = 7s\), \(d_2 = 18m\). The distance from \(t = 4s\) to \(t=7s\) is \(d_{2 - 4}=18 - 8=10m\)

Step3: Find distance from 7th to 9th second

At \(t = 9s\), \(d_3 = 8m\). The distance from \(t = 7s\) to \(t = 9s\) is \(|d_3 - d_2|=|8 - 18| = 10m\)

Step4: Calculate total distance

Total distance \(D=10 + 10=20m\)

Answer:

20 m