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kompoz [17]
3 years ago
9

A boy is playing a ball in a garden surrounded by a wall 2.5 m high and kicks the ball vertically up from a height of 0.4 m with

a speed of 14 m/s. For how long is the ball above
the height of the wall.​
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

2.54 seconds

Step-by-step explanation:

We can use the following equation to model the vertical position of the ball:

S = So + Vo*t + a*t^2/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:

2.5 = 0.4 + 14*t - 4.9t^2

4.9t^2 - 14t + 2.1 = 0

Solving this quadratic equation, we have that t1 = 2.6983  s and t2 = 0.1588 s.

Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:

t1 - t2 = 2.6983  - 0.1588 = 2.54 seconds

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Answer:

46

Step-by-step explanation:

5 0
3 years ago
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A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.
iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 m/s^2

<u>Given the following data:</u>

  • Mass of bookshelf = 51.5 kilogram
  • Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

Acceleration = \frac{Net\;force}{Mass}

Substituting the given parameters into the formula, we have;

Acceleration = \frac{67}{51.5}

Acceleration = 1.30 m/s^2

Read more on net force here: brainly.com/question/1121817

7 0
2 years ago
What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ra
aivan3 [116]

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

3 0
2 years ago
Whats the area of this triangle?
Brut [27]
I believe you answer is 145
6 0
2 years ago
Given that B is between A and C. If AB=x, BC =2x-3, and AC = 30. Find x and bc
Artemon [7]

Answer:

x=11

BC=19

Step-by-step explanation:

AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have

x+2x-3=30          Now you add 2x and x

3x-3=30      Now you add 3 to both sides so you can get 3x alone on one side

3x=33        Now you divide both sides by 3 so you get the x alone on one side

x=11

The next step is to substitute x to find BC.

BC=2x-3       Substitute the x with 11

BC=2(11)-3    Then multiply 2 and 11 because that is the rule with parenthesis

BC=22-3        then subrtact the 3 from 22

BC=19

You can check your work by doing AB+BC=AC

11+19=30        substitute your answers and then add them together

30=30

3 0
3 years ago
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