Final answer:
The average velocity of the projectile is approximately -18.39 m/s.
Step-by-step explanation:
To find the average velocity of the projectile, we need to calculate the displacement and time interval.
The displacement (change in position) is given by:
displacement = final position - initial position = -37 m - 66 m = -103 m
The time interval is given as 5.6 s.
The average velocity is calculated by dividing the displacement by the time interval:
average velocity = displacement / time interval = -103 m / 5.6 s ≈ -18.39 m/s
Therefore, the average velocity (including the sign) is approximately -18.39 m/s.