As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:

Question

G1 Physics · Accepted Answer

The particle moves with constant speed π m s⁻¹ along the circular arc from A to B. Average velocity magnitude is v(avg) = displacement/time Using the chord AB and the arc length AB shown in the figure: time = arc length / π and displacement = chord AB Substituting the geometry of the given figure gives v(avg) = (3√3/2) m s⁻¹ Hence option D follows.