A ball is thrown upwards and returns to the same position. Compared with its original speed after release, its speed when it returns is about
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To determine the speed of the ball when it returns to the same position after being thrown upwards, we need to consider the principles of motion and energy.
When the ball is thrown upwards, it experiences the force of gravity acting against its motion, causing it to slow down. At the highest point of its motion, the ball momentarily comes to a stop and starts to fall back down towards the ground, gaining speed as it descends.
To calculate the speed of the ball when it returns to the same position, we can consider the conservation of energy. At the point of release, the ball has potential energy due to its position above the ground, and it also possesses kinetic energy due to its initial speed. As the ball rises against gravity, its kinetic energy decreases, while its potential energy increases. At the highest point of its motion, all of its initial kinetic energy is converted into potential energy, and vice versa.
The total mechanical energy of the ball (the sum of kinetic and potential energy) remains constant, assuming no energy losses due to air resistance or other factors. As the ball returns to its original position, its potential energy is converted back into kinetic energy.
Based on the conservation of energy, the speed of the ball when it returns to the same position will be the same as its original speed after release. This means that the magnitude of its velocity will be the same, but the direction will be opposite since it will be moving downwards.
In summary, when a ball is thrown upward and returns to the same position, its speed when it returns is approximately equal to its original speed after release.