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To find the percentage error in the measurement of velocity, we first need to calculate the velocity using the given displacement and time. Given: Displacement = 400 + 10 = 410 meters Time = 40 + 0.4 = 40.4 seconds Velocity = Displacement / Time = 410 meters / 40.4 seconds ≈ 10.1386 meters per second Now, we can calculate the percentage error in the measurement of velocity. To do this, we need to consider the errors in both displacement and time. Let's assume the errors in displacement and time are Δd and Δt respectively. Then: Percentage error in velocity = [(Δd/d) + (Δt/t)] * 100% Given: Δd = 10 meters (since the error in displacement is 10 meters) Δt = 0.4 seconds (since the error in time is 0.4 seconds) Percentage error in velocity = [(10/410) + (0.4/40.4)] * 100% ≈ [(0.0244) + (0.0099)] * 100% ≈ 0.0343 * 100% ≈ 3.43% So, the percentage error in the measurement of velocity is approximately 3.43%.

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Distance is scalar quantity where as displacement is vector quantity

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Aditya Verma 2 years, 9 months ago

Distance Which I travelled with long time this. is distance Displacement Whic i travelled with short time that are displacement

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