Formulating problem in CVX

I am new to CVX and I have to solve the following optimization problem.

I have written the code for it and also changed the equalities to make it convex but I think there is some problem in my code which I am not able to figure out.

clc; clear all;

m=10;

x_final = 12;

v_final = 2;

v_max = 10;

a_max = 2;

c_loss = 2;

h = 0.1;

T = 5;

r = T/h;

cvx_begin

variables p(1,r-1) v(1,r) x(1,r) k(1,r) p_d(1,r-1) p_b(1,r-1) a(1,r-1);

minimize(h*sum(p))

v(1) == 0;

x(1) == 0;

v >= 0;

a <= a_max;

v <= v_max;

for i=1:r-1

v(i+1) == v(i) + (h*a(i));

x(i+1) == x(i) + ((h/2)*(v(i) + v(i+1)));

k(i) >= (m*(v(i)^2))/2;

p_d(i) >= c_loss*(pow_abs(v(i),3));

k(i+1) == (h*(p(i) - p_b(i) - p_d(i))) + k(i);

end

x(end) >= x_final;

v(end) <= v_final;

cvx_end

It has been written in MATLAB 2020b, can any point where I am going wrong, this is the output I get when I run it

Trivial infeasibilities detected; solution determined analytically.

Status: Unbounded

Optimal value (cvx_optval): -Inf