gneill said:Look at your formula for the range. What's special about 45° ?
Half of maximum possible projectile range is an important concept in projectile motion because it represents the point at which the projectile reaches its maximum height. This is also known as the peak of the projectile's trajectory and is an important factor in determining the overall range of the projectile.
The calculation for half of maximum possible projectile range involves using the initial velocity, launch angle, and gravitational acceleration to determine the time at which the projectile reaches its maximum height. This time can then be used to calculate the distance traveled by the projectile at this point, which is half of the maximum possible range.
In real-world applications, knowing the half of maximum possible projectile range can help in predicting the trajectory of a projectile and its potential impact point. This is important in fields such as ballistics, sports, and engineering, where precise and accurate calculations of projectile motion are necessary.
No, half of maximum possible projectile range cannot be greater than the actual range of a projectile. This is because the actual range is the total distance traveled by the projectile from its initial position to its final position, whereas half of maximum possible projectile range only represents the distance traveled at the peak of the projectile's trajectory.
Air resistance can affect the half of maximum possible projectile range by reducing the projectile's vertical velocity and therefore, its maximum height. This results in a shorter half of maximum possible projectile range and a smaller overall range. However, the exact impact of air resistance on projectile motion depends on various factors such as the shape and size of the projectile, air density, and wind speed.