A ball is thrown upward in the air, and its height above the ground after
t
seconds is

H
(
t
)
=
76
⋅
t
−
16
t
2
feet.

The velocity of the ball after 0.5 seconds is
feet per second.

The time when the ball will be traveling downward at
38
feet per second is
t
=

.

Give your answers as a decimal approximation with at least 3 decimal places.