When air resistance is taken into account while dealing with the motio...
In the presence of air resistance, the range, maximum height, speed at which the projectile strikes the ground will decreases whereas the angles at which the projectile strikes the ground will increases.
When air resistance is taken into account while dealing with the motio...
Introduction:
When a projectile is in motion, it experiences air resistance, which is the force exerted by the air against the motion of the projectile. Air resistance affects the trajectory and properties of the projectile. In this case, we need to determine which property of the projectile increases when air resistance is taken into account.
Explanation:
When air resistance is considered, the angle at which the projectile strikes the ground (option D) increases. Let's understand why this is the case:
1. Range: The range of a projectile is the horizontal distance it travels before hitting the ground. When air resistance is taken into account, it acts opposite to the direction of motion and slows down the projectile. As a result, the range decreases.
2. Maximum height: The maximum height reached by a projectile is determined by its initial velocity and the angle of projection. Air resistance affects the vertical motion of the projectile by slowing it down. As a result, the maximum height decreases.
3. Speed at which it strikes the ground: Air resistance opposes the motion of the projectile, causing it to slow down. Therefore, the speed at which it strikes the ground decreases when air resistance is taken into account.
4. The angle at which the projectile strikes the ground: This is the correct answer. When air resistance is considered, the angle at which the projectile strikes the ground increases. This can be understood by considering the effect of air resistance on the projectile's trajectory. Air resistance acts opposite to the direction of motion, causing the projectile to deviate from its ideal path. This deviation is more pronounced for projectiles with larger initial velocities and longer flight times. As a result, the projectile's trajectory becomes more shallow, and it strikes the ground at a higher angle.
Conclusion:
When air resistance is taken into account, the angle at which the projectile strikes the ground increases. This is because air resistance causes the projectile's trajectory to deviate from its ideal path, resulting in a shallower angle of impact.