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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
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Profesyonel · 6 yıl öğretmeni
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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).1. For the time period [1,3]:Δs = s(3) - s(1) = 10.6 - 1 = 9.6 metersΔt = 3 - 1 = 2 secondsAverage Velocity = Δs/Δt = 9.6/2 = 4.8 m/s2. For the time period [2,3]:Δs = s(3) - s(2) = 10.6 - 5.1 = 5.5 metersΔt = 3 - 2 = 1 secondAverage Velocity = Δs/Δt = 5.5/1 = 5.5 m/s3. For the time period [3,5]:Δs = s(5) - s(3) = 17.4 - 10.6 = 6.8 metersΔt = 5 - 3 = 2 secondsAverage Velocity = Δs/Δt = 6.8/2 = 3.4 m/s4. For the time period [3,4]:Δs = s(4) - s(3) = 17.4 - 10.6 = 6.8 metersΔt = 4 - 3 = 1 secondAverage Velocity = Δs/Δt = 6.8/1 = 6.8 m/sTherefore, the average velocities for each time period are:1. [1,3]: 4.8 m/s2. [2,3]: 5.5 m/s3. [3,5]: 3.4 m/s4. [3,4]: 6.8 m/s