Gary kicks a feild goal with an inital vertical volocity of 38 m/s. how long will it take for the football to hit the ground

Use  one of the equations  of motion under constant acceleration:-

s = ut + 1/2 a t^2   where s = displacement, u = initial velocity, a = acceleration due to gravity and  t = time .

Here s = 0 , u = 38 m/s and a = -9.8 ms^-2  (negative because its opposed to the motion)

0 = 38t + 1/2 * -9.8 * t^2

-4.9t^2 + 38t = 0
t ( -4.9t + 38) = 0

t = -38 / -4.9 =  7.76 seconds to the nearest hundredth.