Final answer:
This physics problem involves calculating the initial velocity and angle for a cannonball to reach a specified maximum height and distance using projectile motion principles.
Step-by-step explanation:
The scenario presented involves a cannonball being fired at an angle to reach certain horizontal and vertical distances. This is primarily a kinematic problem in physics, where projectile motion principles are utilized to determine the initial conditions required for the motion. To find the required initial speed and angle for the cannonball to reach a maximum height of 56m and land 79m away from the cannon, one can use the equations of motion for projectiles. Ignoring air resistance, the relationship between the maximum height and the initial vertical speed is given by H = Vy2 / (2g), and the range is given by R = (V02 sin(2θ)) / g, where H is the maximum height, R is the range, V0 is the initial speed, Vy is the initial vertical speed, θ is the launch angle, and g is the acceleration due to gravity.