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If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one Thus, diminishing the impact force as to avoid hurting ourselves. Therefore, we bend our knees to effectively increase the time it takes us to stop. From the equation above, it is easy to see that, since is fixed, when gets larger gets smaller, and the other way around. In our scenario, would be the impact force that stops us and the time it takes us to stop. This gives us a relationship between force and impulse: The velocity of the mass changes due to an acceleration and an acceleration is caused by a force. Remember that any change in momentum for a given mass occurs because its velocity changes. So we have that the change in momentum (impulse) is a constant:
Yes, the time that passes for you to stop is very small, but it is impossible for it to be zero. This velocity is given by whatever happened before we hit the ground, which no longer concerns us since we only care about what happens from the moment we first hit the ground till the moment we stop. The initial momentum depends on the velocity we have when we first hit the ground. Note that the initial momentum does not depend on the impact force nor on how much time it takes to stop. Note that, regardless of how much time it takes us to stop, the change in momentum (impulse) is fixed, since it directly depends on how much our velocity changes: This force will cause the acceleration that reduces our velocity to zero and gets us to stop. Say that, when we hit the ground, we have a velocity, which is predetermined by whatever happens before the impact. When we hit the ground you will experience a force for some time.
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