When air resistance is taken into account while dealing with the motion of the projectile which of the following properties of the projectile, shows an increases?

Options

A. range
B. maximum height
C. speed at which it strikes the ground
D. the angle with horizontal at which the projectile strikes the ground

Explanation

To solve the problem, we need to analyze the effects of air resistance on the motion of a projectile. Here’s a step-by-step breakdown:

### Step 1: Understand the Motion of a Projectile
A projectile is an object that is thrown into the air with an initial velocity. In the absence of air resistance, it follows a parabolic trajectory due to the influence of gravity.

**Hint:** Remember that the motion of a projectile can be analyzed in two dimensions: horizontal and vertical.

### Step 2: Introduce Air Resistance
When air resistance is considered, it acts as a force opposing the motion of the projectile. This force affects both the vertical and horizontal components of the projectile's motion.

**Hint:** Air resistance (drag) acts in the opposite direction to the velocity of the projectile.

### Step 3: Analyze the Effects of Air Resistance
1. **Vertical Motion:** While the projectile is moving upwards, air resistance acts downwards, reducing the upward velocity. When the projectile is descending, air resistance acts upwards, reducing the downward velocity.

2. **Horizontal Motion:** Air resistance acts in the opposite direction of the horizontal motion, reducing the horizontal distance traveled.

**Hint:** Consider how air resistance changes the acceleration of the projectile in both the upward and downward motions.

### Step 4: Determine Changes in Projectile Properties
- **Maximum Height:** The presence of air resistance decreases the maximum height reached by the projectile because it reduces the upward velocity more than it would in a vacuum.

- **Range:** The range of the projectile is also reduced due to air resistance, as it decreases the horizontal distance traveled.

- **Speed at Impact:** The speed at which the projectile strikes the ground is reduced because air resistance acts against the motion during descent.

- **Angle of Impact:** The angle at which the projectile strikes the ground can increase due to the effect of air resistance. The projectile may not follow the same trajectory as it would in a vacuum, leading to a steeper angle of descent.

**Hint:** Focus on how air resistance alters the trajectory and the resulting angle of impact.

### Step 5: Conclusion
From the analysis, we can conclude that the only property that shows an increase when air resistance is taken into account is the angle with the horizontal at which the projectile strikes the ground.

**Final Answer:** The angle with the horizontal at which the projectile strikes the ground increases.