A train starts from rest and reaches a speed of 25 m/s in 10 s. Calculate acceleration and distance travelled.
Explanation
To calculate acceleration, we use the formula a = Δv / Δt, where a is acceleration, Δv is change in velocity, and Δt is time. Given that the initial velocity is 0 m/s and the final velocity is 25 m/s, and the time taken is 10 s, we can calculate the acceleration as a = (25 - 0) / 10 = 2.5 m/s². To calculate the distance travelled, we use the formula s = ut + 0.5at², where s is distance, u is initial velocity, t is time, and a is acceleration. Substituting the values, we get s = 0 × 10 + 0.5 × 2.5 × (10)² = 125 m.
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