How does launch angle affect the distance travelled of a projectile?
The launch angle of a projectile has a significant impact on the distance it travels. The optimal launch angle for maximum distance is 45 degrees. At this angle, the vertical and horizontal components of the projectile's velocity are equal, resulting in the projectile travelling the furthest distance before landing.
As the launch angle increases above 45 degrees, the vertical component of the velocity decreases, and the projectile travels a shorter distance. Conversely, as the launch angle decreases below 45 degrees, the vertical component of the velocity increases, and the projectile travels a higher arc but a shorter distance.
The relationship between launch angle and distance travelled is non-linear, meaning that small changes in launch angle can significantly impact the distance travelled. For example, a projectile launched at 40 degrees will travel approximately 90% of the distance of a projectile launched at 45 degrees, while a projectile launched at 50 degrees will travel approximately 80% of the distance.
In addition to the launch angle, the velocity of the projectile also affects the distance it travels. A projectile with a higher velocity will travel further than a projectile with a lower velocity, regardless of the launch angle.
Related Questions and Answers:
- What is the optimal launch angle for maximum distance?
- 45 degrees.
- Why does the launch angle affect the distance travelled?
- The launch angle determines the vertical and horizontal components of the projectile's velocity, which in turn affects the distance travelled.
- What happens if the launch angle is greater than 45 degrees?
- The projectile travels a shorter distance.
- What happens if the launch angle is less than 45 degrees?
- The projectile travels a higher arc but a shorter distance.
- How does the velocity of the projectile affect the distance travelled?
- A projectile with a higher velocity will travel further than a projectile with a lower velocity.
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