A particle moves along a straight line with constant acceleration. Its speeds at points A and B, separated by a distance L, are 10 m/s and 30 m/s respectively. The speed of the particle when it is exactly at the midpoint of AB is:
Options

Question

A particle moves along a straight line with constant acceleration. Its speeds at points A and B, separated by a distance L, are 10 m/s and 30 m/s respectively. The speed of the particle when it is exactly at the midpoint of AB is:

Options

G1 Physics · Accepted Answer

For constant acceleration, v^2 changes linearly with displacement. At A, speed = 10 m/s; at B, speed = 30 m/s. At midpoint, v_m^2 = (10^2 + 30^2)/2 = 500. Therefore v_m = 10sqrt(5) m/s. Hence option B is correct.