Question

The function H(t) = -16t2 + vt + s shows the height H(t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.


Part C: Another object moves in the air along the path of g(t) = 31 + 32.2t where g(t) is the height, in feet of the object from the ground at time t seconds.

Use a table to find the approximate solution to the equation H(t) = g(t), and explain what the solution represents in the context of the problem? [Use the function H(t) obtained in Part A, and estimate using integer values]

Answer 1

1 only need help with parts C and D but here is the rest of it.

Part A: The projectile was launched from a height of 96 feet with an initial velocity of 80 feet per second. Create an equation to find the time taken by the projectile to fall on the ground.

Part B: What is the maximum height that the projectile will reach? Show your work.

Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know?

Answer 2

@amistre64 @jagr2713 @shifuyanli

Answer 3

Will give a medal.

Answer 4

http://openstudy.com/study#/updates/54d009eae4b05fd77d532600

Answer 5

1t doesn't explain the question,

Answer 6

hold on please

Answer 7

http://www.jiskha.com/search/index.cgi?query=upward+velocity+18m%2Fs&page=4

Answer 8

can you please just explain how to do this.

Answer 9

okay iwill try

Answer 10

thanks

Answer 11

mhm but if you want, you can solve it algebraically to find the solutions
H(t) = g(t)
−16t2+80t+96=31+32.2t
−16t2+80t−32.2t+96−31=0
−16t2+47.8t+65=0
then use the quadratic formula to solve for the values of t
t=−b±b2−4ac−−−−−−√2a where a=-16, b=47.8, c=65

Answer 12

are the two interception points (-1,-1) and (4,160)?

Answer 13

lets intersect at two points, since there's a solution when you set H(t)=g(t)

and for the the value of "t"
i got a different answer
t is approximately 4.002 and -1.015

Answer 14

1t said approximate so 1 rounded.

Answer 15

mhm try looking at this link i found

Answer 16

http://openstudy.com/study#/updates/52fd74c5e4b0332f69f759e6

Answer 17

okay so the points are correct. How would 1 get part D?

Answer 18

http://openstudy.com/study#/updates/53475411e4b01730eeaf944c i think

Answer 19

okay that makes sense but these points would intersect when it was going up and down?

Answer 20

yes

Answer 21

okay thank you so much!

Answer 22

yw

Answer 23

1 may need more help later.

Answer 24

okya tag me when you do