The acceleration of an object moving along a coordinate line is given by a\mathopen{}\mathclose{\left(t\righ t)}=\left(5 t+3\right)^{-2}a(t)=(5t+3) −2
​ in meters per second per second. If the velocity at t = 0t=0​ is 44​ meters per second, find the velocity 22​ seconds later. Round to six decimal places.