Speed at Midpoint in Uniform Acceleration – Rankers Physics

Equations of Motion: Practice Problem & Solution

A particle moving with uniform acceleration crosses two points A and B present in a straight line with speed 10 m/s and 20 m/s respectively, the speed of particle at mid-point of A and B will be
\[5\sqrt{10}\text{ m/s}\]
\[10\sqrt{5}\text{ m/s}\]
\[ \sqrt{5}\text{ m/s}\]
\[\sqrt{10}\text{ m/s}\]

Solution Explained:

To solve this problem, we apply the core principles of Equations of Motion. Understanding the underlying formula is key to arriving at the correct answer below:

Formula: Under uniform acceleration, the midpoint velocity is \(v_{mid} = \sqrt{\frac{v_1^2 + v_2^2}{2}}\). Thus, \(v_{mid} = \sqrt{\frac{100 + 400}{2}} = 5\sqrt{10}\text{ m/s}\).

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