# What is the kinetic energy of an object with a mass of #6# #kg# that has been in freefall for #8# #s#?

There are a number of ways to do this, but I have outlined one below.

The kinetic energy is

We know how to find the velocity of an object that starts at rest and has been accelerating at a known rate for a known time. We also know how to calculate the kinetic energy of an object if we know its mass and velocity.

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The kinetic energy of the object is 2352 Joules.

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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.

- What is the relationship between energy and temperature?
- A spring with a constant of #7 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #3 kg# and speed of #8 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- A ball with a mass of #650 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #32 (kg)/s^2# and was compressed by #7/8 m# when the ball was released. How high will the ball go?
- A spring with a constant of #5 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #3 kg# and speed of #12 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- A ball with a mass of #480 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #3/5 m# when the ball was released. How high will the ball go?

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