Question

based on the distance - time graph, calculate the cyclists speed between 4 seconds and 6 seconds. enter your answer in meters per second (m/s) in the text box. (\\(s = d/t\\))

Explanation:

Step1: Find distance at 4s and 6s

At \( t = 4 \) s, distance \( d_1 = 20 \) m. At \( t = 6 \) s, distance \( d_2 = 40 \) m.

Step2: Calculate distance change (\(\Delta d\))

\(\Delta d = d_2 - d_1 = 40 - 20 = 20\) m.

Step3: Calculate time change (\(\Delta t\))

\(\Delta t = 6 - 4 = 2\) s.

Step4: Use speed formula (\(S = \frac{d}{t}\))

\( S = \frac{\Delta d}{\Delta t} = \frac{20}{2} = 10 \) m/s.

Answer:

10