Q2. Given the Verlet and velocity Verlet algorithms, prove the equivalence of the two algorithms. Show all your work. Verlet Algorithm Velocity Verlet Algorithm 1 (t +A) 27,(t)-F(t-A)+(t)A? +O(A4) ), 1+32(0)42 7/(t+A) 7;(t A) +0(4) 7;(t+A)=7;(t)+7;(t)A+ 2 ;(t)+;(t+1) A v;(t+A)= v;(t)+ 2 v (t)- + 24 Q2. Given the Verlet and velocity Verlet algorithms, prove the equivalence of the two algorithms. Show all your work. Verlet Algorithm Velocity Verlet Algorithm 1 (t +A) 27,(t)-F(t-A)+(t)A? +O(A4) ), 1+32(0)42 7/(t+A) 7;(t A) +0(4) 7;(t+A)=7;(t)+7;(t)A+ 2 ;(t)+;(t+1) A v;(t+A)= v;(t)+ 2 v (t)- + 24