You do not need to solve the quadratic. If r is always increasing the quadratic has no solutions. What condition on the parameters leads to that?kalpalned said:
The distance from the cannon is maximized by adjusting the angle and velocity of the projectile launched from the cannon.
The angle of launch has a direct impact on the distance from the cannon. The higher the angle, the greater the distance, as long as the velocity remains constant.
The greater the velocity of the projectile, the farther it will travel from the cannon. However, at very high velocities, air resistance and other factors may come into play and affect the distance.
Air resistance, wind speed and direction, and the weight and shape of the projectile can also impact the distance from the cannon.
The optimal angle and velocity for maximizing distance from the cannon will depend on various factors such as the specific cannon and projectile being used, as well as environmental conditions. Experimentation and calculations can help determine the most effective combination.