The top of a ladder rests at a height
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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: