The velocitydisplacement (v-s) graph shows the motion of particle moving in a straight linè. Velocity-displacement graph is a circle of radius 2 ~m and centre is at (2,0) m . The value of acceleration for this particle at a point (2- 2 , 2 ) m will be ms ⁻² .

Step-by-step solution

As, graph is a circle with centre (2,0) and radius 2 , its equation is aligned (s-2)^2+(v-0)^2 & =2^2 (s-2)^2+v^2 & =4 aligned Differentiating with respect to time, we get aligned 2(s-2) d s d t +2 v d v d t & =0 2(s-2) v+2 v a & =0 aligned At, s=2- 2 and v= 2 aligned & 2(2- 2 -2) 2 +2 2 a=0 & -4+2 2 a=0 a= 4 2 2 = 2 ~ms ⁻² aligned