Final answer:
The extra distance the cannonball travels due to the wind can be calculated using the concept of vector addition. By considering the change in time due to the wind and the horizontal velocity of the cannonball, we can determine the extra distance it travels.
Step-by-step explanation:
The extra distance the cannonball travels due to the wind can be calculated using the concept of vector addition. As the wind pushes the cannonball in a certain direction, it affects the horizontal distance it will travel. Let's assume the cannonball was initially supposed to land at a distance of 100 meters. However, due to the wind, its horizontal velocity decreases by 1.50 m/s. To calculate the extra distance it travels, we need to consider the change in time due to the wind and then calculate the new horizontal displacement using the new velocity.
Let's say the time of flight of the cannonball without wind is t seconds. With the wind reducing its horizontal velocity, the time of flight will increase slightly, let's call it T. To calculate the extra distance, we can use the equation:
Extra Distance = (Horizontal Velocity without wind imes (T - t))
where Horizontal Velocity without wind is the initial horizontal velocity of the cannonball and T - t is the change in time due to the wind. Using this equation, we can calculate the extra distance the cannonball travels due to the wind.