Speed at Midpoint with Uniform Acceleration · CAP 2023 #7

Physics · mechanics

Problem

A block accelerates uniformly along a straight line from A to C as shown above. Its speed at point A is

v_A

and that at point C is

v_C

. What is its speed at point B, which is the mid-point between point A and C? [Figure: Shows points A, B, C in a line] a)

\frac{2v_A v_C}{v_A + v_C}

\frac{v_A + v_C}{2}

\sqrt{\frac{v_A^2 + v_C^2}{2}}

\sqrt{v_A v_C}