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A skydiver jumps out of a plane and begins to accelerate. His speed increases to 20 m/s, then 30 m/s. His acceleration slows until he reaches a constant speed of 50 m/s. Which statement correctly describes his kinetic energy during this time?(1 point)
Responses
His kinetic energy increased while his speed increases, then it became constant.
His kinetic energy increased while his speed increases, then it became constant.
His kinetic energy would remain the same for the whole fall as long as he lost no mass.
His kinetic energy would remain the same for the whole fall as long as he lost no mass.
His kinetic energy was positive at first, but it decreased to zero when he stopped accelerating.
His kinetic energy was positive at first, but it decreased to zero when he stopped accelerating.
His kinetic energy increased quickly at first, then it increased at a constant rate.
Bot GPT 3.5
answered
The correct statement is:
His kinetic energy increased while his speed increases, then it became constant.
Step-by-Step Bot
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The correct statement is: His kinetic energy increased while his speed increases, then it became constant.
Explain Bot
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The correct statement that describes the skydiver's kinetic energy during this time is:
His kinetic energy increased while his speed increases, then it became constant.
To understand why, we need to know that kinetic energy (KE) is given by the equation KE = 0.5 * mass * velocity^2.
Initially, when the skydiver jumps out of the plane, he begins to accelerate. As his speed increases from 0 m/s to 20 m/s, his kinetic energy also increases. The increase in velocity has a more significant effect on the kinetic energy compared to the increase in mass because the velocity is squared in the equation.
When the skydiver's speed further increases from 20 m/s to 30 m/s, his kinetic energy continues to increase. Again, the squared term in the equation amplifies the impact of velocity on kinetic energy.
However, once the skydiver reaches a constant speed of 50 m/s, his kinetic energy stops increasing. At this point, his speed no longer changes, so there is no longer an acceleration, and therefore no change in his kinetic energy.
So, the skydiver's kinetic energy increases while his speed increases, then it becomes constant.