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Question Number 26329 by tawa tawa last updated on 24/Dec/17

A small particle moving with a uniform acceleration a covers distances

X and Y in the first two equal and consecutive intervals of time t . Show that

a = \frac{Y - X}{t^{2}}

Answered by ajfour last updated on 24/Dec/17

X = u t + \frac{1}{2} {a t}^{2} \dots . (i)

X + Y = 2 u t + \frac{1}{2} a {(2 t)}^{2} (i i)

(i i) - 2 \times (i) g i v e s :

Y - X = {a t}^{2} \Rightarrow a = \frac{Y - X}{t^{2}} .

Commented by tawa tawa last updated on 24/Dec/17

God bless you sir .