To solve the question, let's analyze each statement one by one:
### Step 1: Analyze Statement I
**Statement I:** A person receives more injury when he falls on hard rock as compared with that when he falls on a cushion.
- **Explanation:** When a person falls on a hard surface like rock, the deceleration is very rapid, leading to a high force exerted on the body in a short time. This results in more severe injuries. On the other hand, a cushion absorbs some of the impact and allows the person to decelerate more gradually, resulting in less injury.
- **Conclusion:** This statement is **correct**.
### Step 2: Analyze Statement II
**Statement II:** In the first case, time of reaction is more.
- **Explanation:** The time of reaction refers to the time taken for the body to come to rest after hitting the surface. In the case of a hard surface, the time taken to stop is very short because the deceleration is abrupt. Therefore, the time of reaction is **not more**.
- **Conclusion:** This statement is **incorrect**.
### Step 3: Analyze Statement III
**Statement III:** In the first case, time of reaction is less.
- **Explanation:** As explained in the previous step, when falling on a hard surface, the time taken to come to rest is indeed less due to the abrupt stop. Therefore, this statement is true.
- **Conclusion:** This statement is **correct**.
### Step 4: Analyze Statement IV
**Statement IV:** It is a case involving impulse.
- **Explanation:** Impulse is defined as the change in momentum, which occurs over a short time when a force is applied. In the case of falling on a hard surface, the change in momentum happens quickly, and thus impulse is involved.
- **Conclusion:** This statement is **correct**.
### Final Conclusion
After analyzing all the statements:
- Statement I: Correct
- Statement II: Incorrect
- Statement III: Correct
- Statement IV: Correct
Thus, the correct statements are I, III, and IV.
### Summary of Correct Statements:
The correct statements are:
- I. A person receives more injury when he falls on hard rock as compared with that when he falls on a cushion.
- III. In the first case, time of reaction is less.
- IV. It is a case involving impulse.