A baseball outfielder throws a ball at an initial speed of $100f\frac{t}{s}.$ After the ball leaves the player's hand gravity starts to have an effect on the ball's motion. Assume gravity is constant at $32\mathrm{.}2f\frac{t}{s^2}.$

a$.)$ determine the velocity after $2$ seconds

b$.)$ determine the distance traveled by the projectile until it had reached the ground surface.