Final answer:
Using the physics of projectile motion and the given initial velocity and launch angle, we can calculate the range of Jose Altuve's hit to determine if it could be a home run. However, additional information such as air resistance and fence height is required to make a definitive conclusion.
Step-by-step explanation:
To determine whether Jose Altuve's hit is a home run we can use the physics of projectile motion. For a projectile launched at an angle θ with initial velocity v, the horizontal distance R (range) it covers can be calculated using the following formula: R = (v^2 × sin(2θ)) / g, where g is the acceleration due to gravity (approximately 9.81 m/s^2). Given that the ball is hit at a speed of 49.1 m/s and an angle of 22°, the range R can be calculated.
First, we convert the angle to radians: 22° × (π / 180) ≈ 0.384 rad. Then, we find the range using the formula:
R = (49.1 m/s)^2 × sin(2 × 0.384 rad) / 9.81 m/s^2
This calculation will tell us if the ball will travel the necessary 96 meters for a home run. However, to fully answer the question, other factors such as air resistance and the height of the fences would need to be considered, which are not provided in the question. Therefore, without these additional factors, it is not possible to definitively say if it would be a home run.