# A ball with a mass of # 6 kg# is rolling at #18 m/s# and elastically collides with a resting ball with a mass of #9 kg#. What are the post-collision velocities of the balls?

Momentum is conserved in all collisions, but an elastic collision is one in which both momentum and mechanical energy are conserved. For elastic collisions, we use these equations to determine unknown values:

the negative value indicates that the ball is now moving in the opposite direction that it approached from

the positive value indicates that the second ball moves off in the direction opposite of the first

You can verify these answers using momentum and energy conservation.

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The post-collision velocity of the 6 kg ball is 12 m/s, and the post-collision velocity of the 9 kg ball is 24 m/s.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- A ball with a mass of #8 kg# moving at #14 m/s# hits a still ball with a mass of #2 kg#. If the first ball stops moving, how fast is the second ball moving?
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