Final answer:
The shell will hit a point approximately 61.2 meters away from the cannon.
Step-by-step explanation:
In order to find how far away from the cannon the shell will hit, we can analyze the vertical and horizontal motion of the projectile separately.
A projectile launched with an initial vertical velocity component of 10 m/s and an initial horizontal velocity component of 30 m/s will follow a parabolic trajectory due to gravity.
The time it takes for the shell to reach the ground can be determined using the equation:
t = 2 * (Vertical component of initial velocity) / acceleration due to gravity
Substituting the known values, we get:
t = 2 * 10 m/s / 9.8 m/s^2 = 2.04 s
Now we can calculate the horizontal distance traveled using the equation:
Distance = (Horizontal component of initial velocity) * time
Substituting the known values, we get:
Distance = 30 m/s * 2.04 s = 61.2 m
Therefore, the shell will hit a point approximately 61.2 meters away from the cannon.