A particle is moving with constant acceleration $a .$ Following graph shows $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is _________ $m s^{- 2} .$

Question

A particle is moving with constant acceleration a . Following graph shows v 2 versus x (displacement) plot. The acceleration of the particle is _________ m &#160; s - 2 .

Aicharya · Accepted Answer

The equation of the straight line, y = m x + c , from the above graph we get the equation, v 2 = 2 x + 20 , now differentiate it with respect to x , &#8658; 2 v d v d x = 2 &#8658; a = 2 2 = 1 &#160; m &#160; s - 2 .

A particle is moving with constant acceleration a . Following graph shows v 2 versus x (displacement) plot.…

Solution