The table below shows the position of a cyclist. Find the average velocity for each time period. s (in meters) 01.45.510.617.425.5 1. [1,3] Average Velocity: square 2. [2,3] Average Velocity: square 3. [3,5] Average Velocity: square 4. [3,4] Average Velocity: square

To find the average velocity for each time period, we need to calculate the change in position (Δs) and divide it by the change in time (Δt).<br /><br />1. For the time period [1,3]:<br />Δs = s(3) - s(1) = 10.6 - 1 = 9.6 meters<br />Δt = 3 - 1 = 2 seconds<br />Average Velocity = Δs/Δt = 9.6/2 = 4.8 m/s<br /><br />2. For the time period [2,3]:<br />Δs = s(3) - s(2) = 10.6 - 5.1 = 5.5 meters<br />Δt = 3 - 2 = 1 second<br />Average Velocity = Δs/Δt = 5.5/1 = 5.5 m/s<br /><br />3. For the time period [3,5]:<br />Δs = s(5) - s(3) = 17.4 - 10.6 = 6.8 meters<br />Δt = 5 - 3 = 2 seconds<br />Average Velocity = Δs/Δt = 6.8/2 = 3.4 m/s<br /><br />4. For the time period [3,4]:<br />Δs = s(4) - s(3) = 17.4 - 10.6 = 6.8 meters<br />Δt = 4 - 3 = 1 second<br />Average Velocity = Δs/Δt = 6.8/1 = 6.8 m/s<br /><br />Therefore, the average velocities for each time period are:<br />1. [1,3]: 4.8 m/s<br />2. [2,3]: 5.5 m/s<br />3. [3,5]: 3.4 m/s<br />4. [3,4]: 6.8 m/s