anonymous
  • 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)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
can u find s'(t)
anonymous
  • anonymous
yes.. after that i get 128-32t.. so what should i do that given time interval (2, 2.1)
anonymous
  • 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.

More answers

anonymous
  • anonymous
why it divide by 2? can u explain to me?
anonymous
  • anonymous
Because we are calculating avereage of two velocities
anonymous
  • anonymous
oh like that..if we want to calculate average between 3 velocity,, we should divide by 3 also?
anonymous
  • anonymous
yes
anonymous
  • anonymous
add three valocities and dvide it by
anonymous
  • anonymous
3*
anonymous
  • 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
  • anonymous
Just find s'(2)
anonymous
  • anonymous
instantaneous means velocity of that body at that particular time
anonymous
  • anonymous
got it?
anonymous
  • 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
  • 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
  • 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
  • anonymous
2 has no units
anonymous
  • anonymous
I was just calculating average velocity
anonymous
  • anonymous
Wow, that's right. I was wrong.
anonymous
  • anonymous
@wio your formula when i should use it? what the kind of question?
anonymous
  • 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
  • anonymous
@sauravshakya and @wio ..thank u very much

Looking for something else?

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