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geniusboy [140]
2 years ago
7

A rock is dropped from the top of a building and hits the ground at a velocity of

Mathematics
2 answers:
soldier1979 [14.2K]2 years ago
8 0

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

<h3>What is the equation of motion?</h3>

The equation of a motion is:

v^{2} =u^{2} +2gh

Where u and v are the initial and final velocities.

72^{2} =0+2*32*h\\144 = 64h\\h=81

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

To get more about motion visit:

brainly.com/question/453639

Makovka662 [10]2 years ago
7 0

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].

3) if g=32, t=9/4, then the required height is:

h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].

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Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa
oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

 

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

 

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

 

c_{1,2}  =   (−q±  \sqrt{D}   )/2p=(211.91±\sqrt{6904.76})/2

​c_{1,2}  =105.95371114±41.5474295834  

(c_{1}−147.501140726)(c_{2}−64.4062815596)=0

c_{1}=147.501140726  

c_{2}=64.4062815596  

5 0
3 years ago
12/19*.............................= -12/19
melamori03 [73]

Answer:

\frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19}

Step-by-step explanation:

\frac{12}{19} \times ..... = -\frac{12}{19}

= \frac{\frac{12}{19}}{-\frac{12}{19}}

= \frac{12}{19} \times -\frac{19}{12}

= -\frac{228}{228}

= \bold{-1}

So, the appropriate value to complete it is -1

#CMIIW ^^

3 0
3 years ago
Reiki has 3/4 of a gallon of milk. She drinks one-third of the milk. How much milk does she drink?
hammer [34]
It should be 1/4 because one third of three fourths is one fourth. I hope this helps!
4 0
3 years ago
Read 2 more answers
What is 12/84 as a unit fraction
alekssr [168]
12/84=1/7
divide the numerator and denominator of 12/84 with 12


5 0
3 years ago
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Find positive integers that satisfy
tankabanditka [31]

9514 1404 393

Answer:

  (x, y, z) = (1, 2, 3)

Step-by-step explanation:

The equations that result from reduction to row-echelon form are ...

  x = 0.4 +0.2t

  y = 5.6 -1.2t

  z = t

Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.

  x = 0.4 +0.2(3) = 1

  y = 5.6 -1.2(3) = 2

  z = 3

The integers that satisfy are (x, y, z) = (1, 2, 3).

4 0
3 years ago
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