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.

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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
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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
Hi
Hi, can you please help me with this question?

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Other answers:

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

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