shelby1290
  • shelby1290
A golf ball is hit and its height is given by the equation h=29.4t - 4.9t^2, where t is the time elapsed, in seconds, and h is the height in metres.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
shelby1290
  • shelby1290
a) Write an equation in function notation to represent the height of the ball as a function of time b) State the degree of this function and whether the function is linear or quadratic. c) Use difference tables to confirm your answer in part (b) d) Graph the function where {tER | t > 0} e) At what time(s) is the ball at its greatest height? Express the height of the ball at this time in function notation f) At what time (s) is the ball on the ground? Express the height of the ball att this time in function notation
diamondboy
  • diamondboy
Hi
shelby1290
  • shelby1290
Hi, can you please help me with this question?

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More answers

shelby1290
  • shelby1290
@diamondboy ^
diamondboy
  • diamondboy
I think some could be done
diamondboy
  • diamondboy
how far have u gone?
diamondboy
  • diamondboy
Lets start from the very last question (f)
diamondboy
  • diamondboy
What is the height when it touches the ground
shelby1290
  • shelby1290
I haven't started it because i don't understand what to do... Why can't we start from part a) ?
shelby1290
  • shelby1290
And go in order?
diamondboy
  • diamondboy
ok...Lets start with a)
diamondboy
  • diamondboy
|dw:1442180642592:dw| Do you understand how that happened
shelby1290
  • shelby1290
yes because you put it in function notation
diamondboy
  • diamondboy
yes....so lets go to the next one
diamondboy
  • diamondboy
so it's in the second degree therefore it is what?
shelby1290
  • shelby1290
@diamondboy quadratic
diamondboy
  • diamondboy
good
diamondboy
  • diamondboy
wat do u think abt question d and f
shelby1290
  • shelby1290
@diamondboy How do you make a graph for {tER | t > 0} in part d?
diamondboy
  • diamondboy
If I could figure out what the tER meant?
shelby1290
  • shelby1290
{TER | T > 0} TER = any real number
diamondboy
  • diamondboy
Ok
diamondboy
  • diamondboy
So thats good that means we would have to pick any real number greater than 0, make a table and graph our data
shelby1290
  • shelby1290
yes
shelby1290
  • shelby1290
|dw:1442183048636:dw|
shelby1290
  • shelby1290
@diamondboy like that? ^
diamondboy
  • diamondboy
yes
diamondboy
  • diamondboy
is that good?
shelby1290
  • shelby1290
|dw:1442183871319:dw|
shelby1290
  • shelby1290
@diamondboy all of the 2nd differences are constant. they add up to -9.8. That makes it quadratic
shelby1290
  • shelby1290
How do i graph it ?
diamondboy
  • diamondboy
You simply|dw:1442184273390:dw|
shelby1290
  • shelby1290
|dw:1442184408996:dw|
shelby1290
  • shelby1290
my line isn't perfect but something like that, right?
diamondboy
  • diamondboy
|dw:1442184387663:dw|
diamondboy
  • diamondboy
something like that but you should have a curve
diamondboy
  • diamondboy
is this a calc 1 class
shelby1290
  • shelby1290
so its at its highest point at 3 seconds or f(3)= 29.4 (3) - 4.9 (3)^2 in function notation ?
shelby1290
  • shelby1290
This is 11th Grade Functions (i'm from Canada)
diamondboy
  • diamondboy
ok
diamondboy
  • diamondboy
hmmm...the reason I asked is I wanted to use the first derivative to find the maximum height
shelby1290
  • shelby1290
and the ball is at the ground at 0 f(0) = 29.4 (0) -4.9(0)^2
shelby1290
  • shelby1290
Oh i don't remember learning about first derivatives
diamondboy
  • diamondboy
but from the graph the highest point is at 3 seconds...and remember u are not using "f" you are using h
diamondboy
  • diamondboy
well yes you could do the last one like that or equate d equation to 0
shelby1290
  • shelby1290
alright so... h(3)= 29.4 (3) - 4.9 (3)^2
shelby1290
  • shelby1290
how do you equate the equation to 0?
diamondboy
  • diamondboy
|dw:1442184935394:dw|
diamondboy
  • diamondboy
you see that?
shelby1290
  • shelby1290
oh okay, you evaluated it....
shelby1290
  • shelby1290
Alright, well thank you so much for helping me!
diamondboy
  • diamondboy
Thank God
diamondboy
  • diamondboy
Moreover you also did a great job
shelby1290
  • shelby1290
thanks
diamondboy
  • diamondboy
Thank God... :)

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