- When a skydiver jumps, their initial velocity is zero. - The primary force acting initially is gravity, causing downward acceleration approximately equal to g (acceleration due to gravity). The skydiver's velocity increases rapidly. - As the skydiver's velocity increases, air resistance (drag force) becomes significant. Drag force opposes the motion and increases with speed (often proportional to v or v²). - The net downward force is the difference between gravity and drag (F_net = mg - F_drag). The acceleration is F_net/m. - As speed increases, drag increases, so the net force decreases. This means the acceleration decreases over time. - The velocity continues to increase, but the rate of increase slows down. - Eventually, the drag force becomes equal in magnitude to the force of gravity. At this point, the net force is zero, and the acceleration is zero. The skydiver then falls at a constant velocity called terminal velocity. - A velocity-time graph for this motion would start at v=0, show the velocity increasing with a slope (acceleration) that decreases over time, and finally level off at the terminal velocity. Diagram (b) is the standard representation of this type of motion.
Which one among the following diagrams may correctly represent the motion of a skydiver during a jump ?
Asked in UPSC NDA 2 2024 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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