1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Llana [10]
2 years ago
10

If a certain cannon is fired from a height of 8.8 meters above the​ ground, at a certain​ angle, the height of the cannonball ab

ove the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h left parenthesis t right parenthesis equals negative 4.9 t squared plus 30.5 t plus 8.8. Find the time it takes for the cannonball to strike the ground.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

h(t)=-4.9t^2+30.5t+8.8

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

-4.9t^2+30.5t+8.8=0

Multiply both sides by 10.

-49t^2+305t+88=0

For a quadratic equation of the form ax^2+bx+c=0 the solutions are: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a = -49, b = 305 and c=88

t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}

Ignore the negative value of t as time can't be a negative number.

Thus,

t=\frac{305+\sqrt{110273}}{98}\approx6.50

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

You might be interested in
92 POINTS PLS HELP ASAP. I'LL MARK BRAINLIEST
masya89 [10]

Answer:

C is the most reasonable answer because to add the system of equations together, you must make sure that one of the terms (whether it be the x or y value) can cancel out.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Select the correct answer.
ArbitrLikvidat [17]

Answer:

I think its A

Step-by-step explanation:

7 0
2 years ago
Someone plz help me here ;-; it’s due today! I have another due today plz help I have to redo this one cause I got one wrong ;-;
Alja [10]

Answer:

I think It is D

7 0
3 years ago
Read 2 more answers
Pleas help me with 16. The first best answer gets brainlist.
Butoxors [25]

Answer:

ghvghfcc tcfcfgg

Step-by-step explanation:

brainliest pleese

3 0
2 years ago
Read 2 more answers
If f(x) = 3 ^ x - 4 what is f(- 2) ?​
Karolina [17]

Answer:

-35/9

Step-by-step explanation:

(3^-2)-4

1/9-4

-35/9

8 0
2 years ago
Other questions:
  • Who want brainliest answer these questions​
    5·1 answer
  • 7/8,0.98,8/9 least to greatest
    10·1 answer
  • Metal mercury at room temperature is a liquid.Its melting point is -39*C.The freezing point of alcohol is -114*C. How much warme
    7·2 answers
  • Find the length of the arc on a circle with the radius of 2.4 km and is intercepted by a central angle measuring 150°. Leave you
    12·1 answer
  • If 600 J of work is done in 3 s, what is the power? (Power: P = W/t) 0.005 W 200 W 603 W 1800 W
    13·2 answers
  • Heo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2
    10·1 answer
  • (08.04)The following data show the scores of some students in a competition:
    10·2 answers
  • What is the meaning of data in mathematics?
    7·1 answer
  • 10.5125 rounded to the nearest cent plz help me ty <3
    10·1 answer
  • Help<br><br><br><br><br> YOUR PROB WITH THAT BLONDE GIRL... THAT ALWAYS MADE ME DOUBT
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!