The final result should be .
In order to multiply any polynomials, use the pattern FOIL (which stands for first, outer, inner, last). You multiply what they ask you to at each step.
First - The first terms in both parenthesis.
Outer - The terms on the outside of both parenthesis.
Inner - The terms on the inside of both parenthesis.
Last - the last numbers in each parenthesis.
8 * - 5 = - 40
Now we put all the answers together and simplify like terms,
Answer:
Step-by-step explanation:
Now, in order to solve this problem, we need to use the average velocity formula:
From this point on, you have two possibilities, either you find each individual and input them into the formula, or you find a formula you can use to directly input the change of times. I'll take the second approach.
We know that:
and we also know that:
in order to find the final position, we can substitute this final time into the function, so we get:
so we can rewrite our formula as:
will always be the same, so we can start by calculating that, we take the provided function ans evaluate it for t=1s, so we get:
we can substitute it into our average velocity equation:
and we also know that the initil time will always be 1, so we can substitute it as well.
so we can now simplify our formula by expanding the numerator:
we can now simplify this to:
Now we can factor Δt to get:
and simplify
Which is the equation that will represent the average speed of the ball. So now we can substitute each period into our equation so we get: