Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.A rocket is launched from atop a 76-foot cliff with an initial velocity of 135 ft/s.
A.) Substitute the values into the vertical motion formula h=-16t^2+vt+c. Let h=0
B.) Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
1.)0= -16t^2 + 135t + 76; 0.5 s
2.)0= -16t^2 + 135t + 76; 9 s
Answers
Let : h = 0
0 = - 16 t² + 135 t + 76
B ) t 1/2 = (-b+/- √ ( b² - 4 ac ) / ( 2 a )
t 1/2 = (-135 - √(18,225 + 4,864))/ (-32) = ( - 135 - 151.95) / (- 32)=
= (-286.95) / (- 32) = 9.967 ≈ 9.0 s ( other solution is negative )
Answer:
2) 0 = -16 t² + 135 t + 76; 9 s
Answer:
The answer is 2.)
Step-by-step explanation:
Given initial velocity=135 ft/s
& cliff=76 foot
Given quadratic equation
⇒ (let h=0 it is given)
⇒
⇒
⇒ t=8.96≈9 s (the other root is negative)
Hence, rocket will take 9 s to hit the ground after launched.
Related Questions
Please help thanks so much for your kind effort
Which of the following is the same as 2.3×10^3
Write a unit rate for the situation.1080 miles on 15 gallons
In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.
Solve.
Answers
B. an electrical conductor
C. an electrical resistor
D. an open switch
Answers
Answers
and use this method
X=-b+or-sqrt(b^2-4ac)/2a
Answers
if you have xy=0, x and y=0
7n^2-48n+36=0
trial and error
(7n-6)(n-6)=0
set each to zero
7n-6=0
add 6
7n=6
divide 7
n=6/7
n-6=0
add 6
n=6
n=6/7 or 6
Answers
Answer: x = 28, y = 47
**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **
Step-by-step explanation:
Finding x
40+5x=180
Subtract 40 from both sides --> 5x=140
Divide by 5 --> x=28
In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.
3y-1 = 140
(add 1 to both sides) 3y = 141
(divide by 3) y = 47
A.
$45.00
B.
$49.30
C.
$9.86
D.
$2.00
Answers
the anser is bbbbbbbbbbbbbbbbbbb