Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- anonymous

a ball thrown straight up into the air so that its height in feet after t seconds is given by s(t)= 128t-16t^2.. so, find the average velocity of the ball during tie interval (2,2.1)

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

Get your **free** account and access **expert** answers to this and **thousands** of other questions

- anonymous

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

can u find s'(t)

- anonymous

yes.. after that i get 128-32t.. so what should i do that given time interval (2, 2.1)

- anonymous

U need to find {s'(2) + s'(2.1)}/2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- anonymous

why it divide by 2? can u explain to me?

- anonymous

Because we are calculating avereage of two velocities

- anonymous

oh like that..if we want to calculate average between 3 velocity,, we should divide by 3 also?

- anonymous

yes

- anonymous

add three valocities and dvide it by

- anonymous

3*

- anonymous

ok.... i would like to ask u something.. if the question ask to find instantaneous velocity at t=2.. what the mean of instantaneous/

- anonymous

Just find s'(2)

- anonymous

instantaneous means velocity of that body at that particular time

- anonymous

got it?

- anonymous

Umm, one thing I'd like to note is that @sauravshakya 's method for finding the average value works for lines. In this case velocity is indeed linear so it will work, though.

- anonymous

Wait, actually @sauravshakya , the units don't seem to work out with your method.
You have \(\frac{m/s}{s}\), which is acceleration.

- anonymous

I think we don't need to do any calculus at all here. It's just: \[ \large
\frac{s(t_f)-s(t_i)}{t_f-t_i}
\]

- anonymous

2 has no units

- anonymous

I was just calculating average velocity

- anonymous

Wow, that's right. I was wrong.

- anonymous

@wio your formula when i should use it? what the kind of question?

- anonymous

Anyway, I'm thinking that the average velocity, given velocity is: \[ \large
\overline{v(t)} = \frac{1}{t_f-t_i}\int_{t_i}^{t_f} v(t) dt
\]Note that \(s(t) = \int v(t) dt \), which gives us (by fundamental theorem of calc: \[
\frac{s(t_f) - s(t_i)}{t_f - t_i}
\]

- anonymous

@sauravshakya and @wio ..thank u very much

Looking for something else?

Not the answer you are looking for? Search for more explanations.