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STATEMENT - 1 : A falling skydiver which...

STATEMENT - 1 : A falling skydiver which has reached terminal velocity is considered to be in a state of free fall.
STATEMENT - 2 : A ball is thrown upwards and is rising towards its peak. As it rises upwards, its speed increases
STATEMENT - 3 : An object in free fall experiences an acceleration which is independent of the mass of the object

A

FFT

B

TFT

C

FTT

D

TTT

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will evaluate each statement one by one and determine their validity. ### Step-by-Step Solution: **Statement 1:** A falling skydiver which has reached terminal velocity is considered to be in a state of free fall. 1. **Understanding Terminal Velocity:** When a skydiver falls, they accelerate downwards due to gravity (g). However, as they fall, air resistance (drag force) increases until it equals the weight of the skydiver (mg). At this point, the net force acting on the skydiver becomes zero, and they stop accelerating, reaching a constant speed known as terminal velocity. 2. **Free Fall Definition:** Free fall is defined as the motion of an object under the influence of gravitational force only. Since the skydiver at terminal velocity experiences air resistance that balances their weight, they are not in true free fall. 3. **Conclusion for Statement 1:** Therefore, this statement is **false**. --- **Statement 2:** A ball is thrown upwards and is rising towards its peak. As it rises upwards, its speed increases. 1. **Understanding the Motion of the Ball:** When a ball is thrown upwards, it moves against the force of gravity. The acceleration due to gravity acts downwards, opposing the upward motion of the ball. 2. **Speed Behavior:** As the ball rises, it loses speed due to the gravitational pull acting in the opposite direction. The speed decreases until it reaches the peak, where it momentarily stops before falling back down. 3. **Conclusion for Statement 2:** Therefore, this statement is **false**. --- **Statement 3:** An object in free fall experiences an acceleration which is independent of the mass of the object. 1. **Understanding Free Fall Acceleration:** In free fall, the only force acting on an object is gravity. According to the principle of equivalence, all objects in free fall experience the same acceleration due to gravity (g), regardless of their mass. 2. **Mass Independence:** This means that the acceleration of an object in free fall does not depend on its mass; it is always equal to g (approximately 9.81 m/s² near the Earth's surface). 3. **Conclusion for Statement 3:** Therefore, this statement is **true**. --- ### Final Evaluation: - **Statement 1:** False - **Statement 2:** False - **Statement 3:** True The correct option based on the evaluation of the statements is that **only Statement 3 is true**.
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