KNOW EQUATION of Motion is,\(X = v_0t + \frac{1}{2}a{t^2}\)where a = acceleration, v0 = INITIAL velocity, x = position, t = timeCalculation:Given:For position ( x1 ) = 1 m, at time t1 = 1 s, for final position ( xf ) = 3 m, at time ( tf ) = 2 sso, \(1 = (~v_0~\times1~) + (~\frac{1}{2}\times a\times{1^2}~)\)\(1 = v_0 + \frac{a}{2}\) .....( 1 )and, \(3 = (~v_0~\times~2~) + (~\frac{1}{2}\times a\times{2^2}~)\)\(3 = 2v_0 + 2a\) ......( 2 )from equation ( 1 ) and equation ( 2 ), put the value of ν0 in equation (2) 3 = 2(1 - a/2) + 2a3 = 2 - a + 2a\(1 = ~a\)a = 1 m/s2