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Leona [35]
3 years ago
10

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just b

efore striking the ground. Neglect drag.
Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Complete question:

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just before striking the ground. Neglect drag, find the height of the building.

Answer:

The height of the building is 69.235 m

Step-by-step explanation:

Given;

initial velocity of the ball, u = 18 m/s

final velocity of the ball, v = 41 m/s

The height of the building is equal to distance traveled by the ball downward.

Apply the following kinematic equation;

v² = u² + 2gh

where;

g is acceleration due to gravity

h is height of the building

41² = 18² + 2(9.8)h

1681 = 324 + 19.6h

19.6h = 1681 - 324

19.6h = 1357

h = 1357 / 19.6

h = 69.235 m

Therefore, the height of the building is 69.235 m

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A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of
LenaWriter [7]

The fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

Learn more about the volumes of cylinders at

brainly.com/question/9554871

#SPJ4

4 0
2 years ago
Four times the difference of a number and 3 is the same as 3 increased by four times the number plus three times the number. Fin
motikmotik

Answer:

-2 = n

Step-by-step explanation:

-3 + 4n = 4n + 3 + 3n

-3 + 4n = 7n + 3 [Combine like-terms]

-7n -7n

________________

-3 - 3n = 3

+3 +3

________________

-3n = 6

n = -2

I am joyous to assist you anytime.

4 0
4 years ago
Please help, I am so confused ( please list in the correct order as well)
andreyandreev [35.5K]

Answer:

( 5, 7),  ( 5, 7), Yes M is the center

Step-by-step explanation:

It could help you under stand this by drawing it out on paper.  I can't draw it here.  You just need to visualize a circle with points A and B on the outside portion of the circle.  Then there is point M inside the circle.  You are trying to figure out if M is in the center or not.

Look at the coordinates for all 3 and find the distance from A to M and then B to M.  Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below.  And, negative numbers for X are to the left of the y axis and positive is to the right.

From A ( -1, -9) to M ( -6, -2).  Look at the x values.  You are going from -1 to -6 which is a total of 5 points.  Now look at y values.  You are going from -9 to -2 which is a total of 7 points.  So the distance in coordinates is ( 5, 7)

From B ( - 11, 5) to M ( -6, -2).  Again look at x values. You're going from -11 to -6 which is 5 points.  Looking at the y values, you are going from 5 to -2.  This is 5 above the x axis going down to a -2 which is below the x axis.  So the total is 7 points.  The distance of these two is also ( 5, 7 ) which is the same as the other distance.

Therefore, you can state correctly that M is the center of the circle.

7 0
3 years ago
Mr iniguez can bike 157 miles in 5 hours . How many miles can he bike 1 hour?​
makvit [3.9K]

Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour

Step-by-step explanation:

I divided

6 0
3 years ago
Read 2 more answers
Please help I do not know how to do right answer only.
lorasvet [3.4K]
Answer: X=100
Good luck
8 0
3 years ago
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