Physics · Forces and Motion
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A stone is dropped from a cliff. The graph (Position or velocity versus time) which best represents motion when it falls:
- A
A curved graph with increasing slope (Position vs. Time)
- B
A straight-line graph with a positive slope (Velocity vs. Time)
- C
A straight-line graph with a constant slope (Position vs. Time)
- D
A curved graph with an increasing slope (Velocity vs. Time)
This represents velocity increasing at a constant rate, which matches the equation v=gtv = g tv=gt.Since free-fall motion results in a linearly increasing velocity, this is correct for a velocity-time graph.
This represents an object moving with increasing velocity, which matches free-fall motion.Since position increases quadratically over time due to constant acceleration, this is correct for a position-time graph.
This represents velocity increasing at a constant rate, which matches the equation v=gtv = g tv=gt.Since free-fall motion results in a linearly increasing velocity, this is correct for a velocity-time graph.
This represents uniform motion (constant velocity), not accelerated motion.Since the stone is accelerating due to gravity, this option is incorrect.
This suggests exponential acceleration, which does not match free-fall motion. Since velocity increases linearly and not exponentially, this option is incorrect.
Tagged under Physics · Forces and Motion · 2024