# A ball with a mass of #400 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #64 (kg)/s^2# and was compressed by #3/4 m# when the ball was released. How high will the ball go?

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The ball will reach a height of approximately 0.59 meters.

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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.

- If a spring has a constant of #10 (kg)/s^2#, how much work will it take to extend the spring by #40cm #?
- An object with a mass of #4 kg# is moving at #7 m/s# over a surface with a kinetic friction coefficient of #3 #. How much power will it take to accelerate the object at #4 m/s^2?
- A spring with constant #2# #kgs^-2# is lying on the ground with one end attached to a wall. An object with a mass of #1/2# #kg# and speed of #3/5# #ms^-1# collides with and compresses the spring until it stops moving. How much will the spring compress?
- The force applied against an object moving horizontally on a linear path is described by #F(x)=x^2-3x + 3 #. By how much does the object's kinetic energy change as the object moves from # x in [ 0 , 1 ]#?
- How does the law of conservation of matter and energy relate to the cycles in nature?

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