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Mathematics 8 Online
OpenStudy (anonymous):

HELP!!! I WILL DO ANYTHING

OpenStudy (anonymous):

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 A: The projectile was launched from a height of 82 feet with an initial velocity of 60 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points) Part B: What is the maximum height that the projectile will reach? Show your work. (2 points) Part C: Another object moves in the air along the path of g(t) = 10 + 63.8t 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] (4 points) Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know? (2 points)

OpenStudy (anonymous):

@dan815

OpenStudy (anonymous):

@triciaal

OpenStudy (plasmataco):

A:0=-16t2+60t+82

OpenStudy (anonymous):

YEAH, I have that part. but what do you mean by A;0 .. I have the numbers plugged in .. just solving is difficult

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (plasmataco):

A: 0. Sry. Forgot the space

OpenStudy (plasmataco):

Just sayin for problem a.

OpenStudy (anonymous):

either way what do you mean??

OpenStudy (anonymous):

ohh

OpenStudy (anonymous):

hello?

OpenStudy (plasmataco):

The equation for problem a is 0=-16t2+60t+82

OpenStudy (anonymous):

I know that

jimthompson5910 (jim_thompson5910):

part A is definitely 0 = -16t^2+60t+82. So you have the correct answer there for that part. initial velocity = 60 ft/s v = 60 initial height = 82 ft s = 82

jimthompson5910 (jim_thompson5910):

for part b, consider the equation y = -16x^2+60x+82 it is in the form y = ax^2 + bx + c

OpenStudy (anonymous):

okay... now what do i do?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

notice how a = -16, b = 60, c = 82 plug the values of a and b into h = -b/(2a) and tell me what you get for h

OpenStudy (anonymous):

-1.875

jimthompson5910 (jim_thompson5910):

it should be positive

jimthompson5910 (jim_thompson5910):

you lost a sign somewhere

OpenStudy (anonymous):

yea. it is . i accidentally put it there

jimthompson5910 (jim_thompson5910):

now plug x = 1.875 into y = -16x^2+60x+82 to get the value of y what is the value of y?

OpenStudy (anonymous):

y=1094.5 ?

jimthompson5910 (jim_thompson5910):

that's too big

OpenStudy (anonymous):

,,,,, but i plugged the number in and I'm sure i solved it correctly..

jimthompson5910 (jim_thompson5910):

-16x^2+60x+82 -16(1.875)^2+60(1.875)+82 ... replace every x with 1.875 now compute `-16(1.875)^2+60(1.875)+82`

OpenStudy (anonymous):

yeah.. thats what i had. .let me retry

OpenStudy (anonymous):

138.25??

jimthompson5910 (jim_thompson5910):

much better

OpenStudy (anonymous):

okay great.. next step?

OpenStudy (plasmataco):

For c, u make the equation in a equal 10 +63.8t 10+63.8t=-16t2+60t+82 In which you solve for t, then plug it in in one of the equations

OpenStudy (anonymous):

HUH ^^^^

jimthompson5910 (jim_thompson5910):

So when the time is t = 1.875 seconds, the height of the object is 138.25 ft which is the peak height |dw:1439942710928:dw|

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