The formula for calculating the range of a projectile is R = (v2sin2θ)/g, where R is the range, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s2).
Air resistance can decrease the range of a projectile by slowing it down as it travels through the air. This is because air resistance acts in the direction opposite to the projectile's motion, reducing its velocity and therefore its range.
The maximum range of a projectile occurs when it is launched at a 45-degree angle. In this scenario, the horizontal and vertical components of the initial velocity are equal, resulting in the maximum range possible for a given initial velocity and acceleration due to gravity.
The initial velocity has a direct effect on the range of a projectile. The higher the initial velocity, the greater the range will be. This is because a higher initial velocity results in a greater horizontal component of the velocity, allowing the projectile to travel further before hitting the ground.
Yes, the angle of launch can greatly impact the range of a projectile. Launching a projectile at a lower angle will result in a shorter range, while launching it at a higher angle will result in a longer range. This is because the initial velocity will have a greater vertical component at a higher angle, resulting in a higher peak height and longer travel time before hitting the ground.