Question

A sprinter enters the 60m mark of the race with a velocity of 10.2m^-1. He continued to accelerate at a rate of 2.1ms^-2 over the next 10m covering this in 0.81s. Calculate the velocity of the sprinter when he reached 70m

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Answer to a math question A sprinter enters the 60m mark of the race with a velocity of 10.2m^-1. He continued to accelerate at a rate of 2.1ms^-2 over the next 10m covering this in 0.81s. Calculate the velocity of the sprinter when he reached 70m

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Jayne

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To calculate the final velocity of the sprinter when he reaches 70m, we can use the equation of motion: v^2 = u^2 + 2as Where: - v is the final velocity - u is the initial velocity - a is the acceleration - s is the displacement Given: - Initial velocity (u) = 10.2 m/s - Acceleration (a) = 2.1 m/s^2 - Displacement (s) = 70 m - 60 m = 10 m Substituting the given values into the equation, we have: v^2 = (10.2 m/s)^2 + 2 * 2.1 m/s^2 * 10 m Calculating this equation: v^2 = 104.04 m^2/s^2 + 42 m^2/s^2 v^2 = 146.04 m^2/s^2 To find the final velocity (v), we take the square root of both sides: v = √(146.04 m^2/s^2) v ≈ 12.08 m/s (rounded to 2 decimal places Therefore, the velocity of the sprinter when he reaches 70m is approximately 12.08 m/s

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