Final answer:
When you throw a football, the distance it travels is determined by the initial velocity, the angle of projection, and the force of gravity, all of which contribute to the football's trajectory and final position. The correct answer is option d: All of the above.
Step-by-step explanation:
The distances a football might travel when thrown are dependent on multiple factors.
These include:
- Initial velocity: The speed at which the football is thrown.
- Angle of projection: The angle at which the football is launched relative to the ground.
- Force of gravity: The gravitational pull that affects the trajectory and distance of the football.
All of these factors collectively determine the range, trajectory, and final position of a football. The initial velocity directly impacts how far and how fast the football will travel. The angle of projection influences the trajectory; for example, a 45-degree angle maximizes range without air resistance, whereas with air resistance taken into account, the optimum angle is around 38 degrees.
Lastly, the force of gravity affects the time the football remains airborne and therefore influences the distance traveled. Conditions such as air resistance and gravity vary depending on the location, such as on the Moon where gravity is weaker, affecting the range a projectile can achieve.