Remember that given a position function we can find the velocity by evaluating the derivative of the position function with respect to time at the particular.

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Presentation transcript:

Remember that given a position function we can find the velocity by evaluating the derivative of the position function with respect to time at the particular time. Hence, what we need is an antiderivative of the velocity function.

To check our answer we need only take the derivative of the result. It’s appears we have found the right function … or have we????

What if the position function is So this function also works!

What if the position function is So this function works as well!

Since the derivative of a constant is 0, it seems that any function of the form works just as well!

In order to find a particular solution you must be given an initial condition. Particular Solution

1 st Kinematic Equation

3 rd Kinematic Equation