Which one among the following diagrams may correctly represent the motion of a skydiver during a jump ? 

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NDA-II 2024 (GAT) Official Paper (Held On: 01 Sept, 2024)
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  1. qImage67dbafaddab3657dc66ab910
  2. qImage67dbafaddab3657dc66ab912
  3. qImage67dbafaedab3657dc66ab913
  4. qImage67dbafaedab3657dc66ab914

Answer (Detailed Solution Below)

Option 1 : qImage67dbafaddab3657dc66ab910
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Detailed Solution

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CONCEPT:

Skydiver's Motion During a Jump

  • When a skydiver jumps from a height, they experience:
    • Initial free fall with increasing speed due to gravity.
    • After some time, air resistance increases and a balance is reached — this is called terminal velocity.
    • Upon opening the parachute, there is a sudden increase in air resistance, causing the skydiver to decelerate rapidly.
  • This behavior results in a speed-time graph that:
    • Increases quickly at first (acceleration).
    • Then becomes nearly constant (terminal velocity).
    • Then decreases sharply (parachute opens and deceleration occurs).

EXPLANATION:

  • Option 1: Shows the correct sequence:
    • Speed increases initially.
    • Plateaus (terminal velocity).
    • Then sharply drops (due to parachute).
  • Option 2: Speed becomes zero too quickly and unrealistically; it doesn't match actual parachuting behavior.
  • Option 3: Shows a symmetrical triangle which is physically incorrect — skydivers don't decelerate back to zero speed without cause.
  • Option 4: Nearly correct, but less realistic than Option 1; it lacks a clear plateau for terminal velocity and the deceleration isn't as distinct.

Therefore, the correct answer is: Option 1.

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