A particle starts with an initial velocity and passes successively over the two…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle starts with an initial velocity and passes successively over the two halves of a given distance with constant accelerations

a_1

and

a_2

, respectively. Show that the final velocity is the same as if the whole distance were covered with a uniform acceleration

\frac{a_1+a_2}{2}