anonymous
  • anonymous
calculating average velocity
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
When a ball is thrown vertically upward into the air with a velocity of 56 ft/sec its height, y(t), in feet after t seconds is given by \[y(t)=56t-16t ^{2}\] Find the average velocity of the ball over the interval from 3 to 3+h seconds, \[h \neq0\]
anonymous
  • anonymous
answer choices: 1. average vel. = −(41 + 16h) ft/sec 2. average vel. = −(40 − h) ft/sec 3. average vel. = −(41 − 16h) ft/sec 4. average vel. = −(41 + h) ft/sec 5. average vel. = −(40 + 16h) ft/sec 6. average vel. = −(40 − 16h) ft/sec
ganeshie8
  • ganeshie8
average velocity = \(\large \frac{y(3+h) - y(3)}{(3+h) - h}\)

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More answers

ganeshie8
  • ganeshie8
simplify
anonymous
  • anonymous
@ganeshie8 I got -(40+16h) ft/sec
anonymous
  • anonymous
Now..how do I find the instantaneous velocity of the ball after 3 seconds?
ganeshie8
  • ganeshie8
Excellent ! thats correct
ganeshie8
  • ganeshie8
familiar wid calculus ?
anonymous
  • anonymous
haha I am taking calculus.
anonymous
  • anonymous
would I substitute t for 3 from the answer I got from the first problem?
anonymous
  • anonymous
wait..no that's not rigt.
ganeshie8
  • ganeshie8
no, that just gives u height
anonymous
  • anonymous
oh i see. what do I do, now?
ganeshie8
  • ganeshie8
did u get how the average velocity was found ?
ganeshie8
  • ganeshie8
Average velocity = \(\large \frac{y(3+h) - y(3)}{(3+h) - h}\) u can use the same formula for instantaneous velocity, but u need to MAKE THE h SOOO SMALL
ganeshie8
  • ganeshie8
then oly, u wil get the velocoty right after 3 seconds. getting ?
anonymous
  • anonymous
yeah I understood that formula
anonymous
  • anonymous
that's what I used earlier
ganeshie8
  • ganeshie8
make h=0.001 and see wat u wud get
anonymous
  • anonymous
Do i need to plug in a 3 anywhere?
ganeshie8
  • ganeshie8
3 is already there in the formula, just put h value and simplify
anonymous
  • anonymous
I seee. thank you!
ganeshie8
  • ganeshie8
wait a sec, you have already simplifies the average velocity average velocity between 3 & h seconds = -(40+16h) ft/sec
ganeshie8
  • ganeshie8
right ?, now simply put h = 0.001 above. you will get instantaneous velocity at time 3
ganeshie8
  • ganeshie8
that wud be oly the APPROXIMATE value
anonymous
  • anonymous
wait. what if I just plug in 3 into \[56t-16t ^{2}\]
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@ganeshie8 is the answer -40?
ganeshie8
  • ganeshie8
yes thats right

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