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
____ [38]
3 years ago
5

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

he way back down. when will the rock be at 11 meters from the ground level
Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

t_1 = -0.41 s

t_2=5.92 s

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

brainly.com/question/2607086

#LearnwithBrainly

You might be interested in
Do these basic math problems please
Brut [27]

Answer:

.

Step-by-step explanation:

a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)

b.) -72 ÷ 8 × 9 = -81 (it's same with a only differ by negative sign)

c.) 72 ÷ (-8) × 9 = -81 (dividing 72 by -8 will give us -9 and multiplying -9 by -9 will give the result of -81)

d.) 72 ÷ 8 × (-9) = -81 (divide 72 by 8 and it will be 9, mutliply it by -9 and again it will give -81)

e.) -72 ÷ 8 × (-9) = 81 (divide -72 by 8 and it will be -9 multiplying it by -9 will give a positive 81 since two negative signed numbers multiplied or divided gives positive result)

8 0
3 years ago
Read 2 more answers
There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the n
elena-14-01-66 [18.8K]

Answer:

The ratio of the number of female teachers to the number of male teachers is 18:5.

Step-by-step explanation:

First: Review how to write a ratio:

To write a ratio, take the two quantities, and put them on both sides of a colon (:). So, our two quantities our 18 and 5. But, they need to be in a specific order:

There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the number of male teachers?

Since, they mentioned the number of female teachers first, we put the quantity of female teachers first. So we will write 18 first and 5 after. So, the ratio is 18:5.

Thank you for reading

Topic: Ratios

6 0
3 years ago
Read 2 more answers
PLEASE HELP FAST THANKS :)
Paladinen [302]

Answer:

x, y = 0.10

Step-by-step explanation:

5 0
3 years ago
Help picture below problem 13
Hitman42 [59]

Answer:

it's obtuse angle...

mark me brainliest

3 0
2 years ago
A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the mach
vaieri [72.5K]

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the number of 30 sides in a polygon
    10·1 answer
  • . A(0,8), B(6,5), C(-3,2)
    7·1 answer
  • hamburger selling $1.25 a pound contains 30% fat. how much does the consumer pay for the meat without the fat?
    11·2 answers
  • 9 more than 4 times a number is the same as one less than twice the number . find the number
    9·1 answer
  • Is every multiple of five a composite number
    7·2 answers
  • A supply company marks up their doctor scrubs by 40%. Find the doctor’s cost for a set of scrubs that the supply company buys fo
    12·1 answer
  • Can anyone help me with this question
    7·1 answer
  • What is the rule for the reflection?
    10·1 answer
  • Student bought n books with 20 dollars and 10-n books with 30 dollars each if p is the total price of the books then which one o
    9·1 answer
  • Given f(x) = 2x- 7. complete parts (a) through (c) below. Homework Help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!