# When does initial and final velocity occur in an object that is thrown downwards?

The initial velocity occurs when the ball is thrown

And the final velocity occurs when the ball reaches the ground.

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Initial velocity occurs when the object is first thrown downwards, while final velocity occurs when the object reaches its lowest point before starting to ascend again.

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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.

- An object's two dimensional velocity is given by #v(t) = ( sqrt(3t)-t , t^2-5t)#. What is the object's rate and direction of acceleration at #t=2 #?
- If an object with uniform acceleration (or deceleration) has a speed of #5 m/s# at #t=0# and moves a total of 15 m by #t=12#, what was the object's rate of acceleration?
- A bowling ball and a tennis ball are dropped at the same time. Ignoring wind resistance, which one will hit the ground first? Which will hit at a higher speed? What will be their accelerations?
- An object travels North at #7 m/s# for #3 s# and then travels South at #9 m/s# for # 2 s#. What are the object's average speed and velocity?
- An object has a mass of #3 kg#. The object's kinetic energy uniformly changes from #48 KJ# to # 32KJ# over #t in [0,6s]#. What is the average speed of the object?

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