A particle moves in a straight line with the velocity as shown in figure. At t = 0, x = -16 m.

Maximum value of position coordinate - Initial coordinate + Area under the graph up to t = 24 s (As up to t = 24 s, the displacement of the particle will be positive (figure).Maximum value of position coordinate              =−16+(2×10)+2+62×(18−10)+1×62×(24−18)=−16+[20+32+18]=54mAt time t=18sPosition=−16+ Area of graph up to t=18s =−16+[20+32+18]=54mAt time t=30sPosition=−16+ Area of graph up to t=30s =−16+70−12×6×6=36m