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Makovka662 [10]
3 years ago
14

Safawi kicked a ball with an initial speed of 20 ms) at 30° angle. If the ball experienced a constant vertical acceleration of -

9.81 ms?, calculate the ball's maximum height and distance. Explain how soccer player could apply the force of summation theory to optimize his kicks performance.
(10 marks)​
Physics
1 answer:
Alex73 [517]3 years ago
3 0

Answer:

maximum height = 5.1 m  distance traveled/horizontal displacement = 35.3m

Explanation:

Vy = sin 30º • 20 m/s

Vy = 10 m/s

Vx = cos 30º • 20m/s

Vx = 17.3

V final = V initial + acceleration • time

0 = 10m/s + (-9.81 m/s/s) • time

subtract 10 m/s from both sides

-10m/s = -9.81m/s/s • time

divide each side by -9.81m/s/s

t = 10/9.81 s or roughly 1.02 second  

the time to reach max height is equal to 1.02 s

Height = 1/2 • acceleration • time^2  + Vy • time

Height = 1/2 • (-9.81 m/s/s) •  1.02s^2  + 10m/s • 1.02 s

Height = 5.1 m

the maximum height of the ball is equal to 5.1m

since the ball starts from an initial height of zero and has a final height of 0 once it reaches the ground, the time needed to reach max height is the same amount of time to fall back down to earth. thus, time total is equal to 1.02s multiplied by 2

t total = 1.02s • 2

t total = 2.04s

horizontal displacement = Vx • time total

horizontal displacement = 17.3m/s • 2.04 s

Horizontal displacement = 35.3m

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Vf=V0+at solve for a
dangina [55]

Answer:

See below

Explanation:

vf = vo + at      subtract vo from both sides

vf - vo = at       now divide both sides by t

(vf-vo) / t = a

6 0
1 year ago
At the very end of Wagner's series of operas The Ring of Nibelung, Brunnhilde takes the golden ring form the finger of the dead
Blababa [14]

Answer:

a) 404 m² b) apparent height = 7.5 m

Explanation:

This question is about refraction and total internal refraction.

Here I will take refractive index of air and water

n_{air}=1\\ n_{water}=1.33=4/3

Now let's look at the diagram I have attached here

At some angle A, the light from the ring (yellow point) under water will be totally internally refracted (B = 90°), which means that rays of light (yellow arrow) that make large enough angle A will not be able to escape from the water. Since we assumed that the ring is a point, there will be a critical cone of angle A with the ring at its apex which traces a circle of radius R on the surface of water, which, beyond this radius, no light could escape.

According to snell's law

\frac{sin(B)}{sin(A)} = \frac{n_{water}}{n_{air}} = 4/3

At critical angle B = 90°

\frac{3)}{4}sin(B) = [tex]\frac{3}{4} sin(90^\circ ) = 0.75 = sin(A)

Therefore

A = 48.6^\circ

With this, we can find the radius of the circle (refer to my diagram)

h* tan (A) = R\\R =11.3 m

And with that we can find the area

A = \pi R^2=404\ m^2

Additional Problem

For apparent depth from above, we can think that, since we are accustomed to seeing light at the speed of c in air, our brain interpret light from <em>any</em> source to be traveling at c. This causes light that originated under water, which has the speed of

v_{water} = \frac{c}{n_{water}} = 0.75c

to appear as if it has traveled with the same duration as light with speed c

In order for this to happen our brain perceive shortened length  which is the apparent depth.

To put it in mathematical term

t_{travel}=\frac{h_{apparent}}{v_{water}} =\frac{h}{c}

So we get apparent depth

h_{apparent}=0.75h = 7.5\ m

4 0
3 years ago
What is the correct answer?
bija089 [108]

Answer:

(B) 39

Explanation:

Use synthetic division:

-2 | 3  0  -1    3  1

____<u>-6 12 -22 38</u>

     3 -6 11  -19 | 39

This means that the remainder is 39

4 0
3 years ago
Read 2 more answers
A student tosses a ball horizontally from a balcony to a friend 3.8 meters down below them. How long does the ball take to reach
Vsevolod [243]

Answer:

The time it takes the ball to fall 3.8 meters to friend below is approximately 0.88 seconds

Explanation:

The height from which the student tosses the ball to a friend, h = 3.8 meters above the friend

The direction in which the student tosses the ball = The horizontal direction

Given that the ball is tossed in the horizontal direction, and not the vertical direction, the initial vertical component of the velocity of the ball = 0

The equation of the vertical motion of the ball can therefore, be represented by the free fall equation as follows;

h = 1/2 × g × t²

Where;

g = The acceleration due gravity of the ball = 9.81 m/s²

t = The time of motion to cover height, h

Then height is already given as h = 3.8 m

Substituting gives;

3.8 = 1/2 × 9.81 × t²

t² = 3.8/(1/2 × 9.81) ≈ 0.775 s²

∴ t = √0.775 ≈ 0.88 seconds

The time it takes the ball to fall 3.8 meters to friend below is t ≈ 0.88 seconds.

8 0
3 years ago
Only 25% of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric f
Firdavs [7]

Answer: Only 25% of the intensity of a polarized light wave passes through a polarizing filter. Then the angle between the electric field and the axis of the filter will be 60 degrees.

Explanation: To find the answer of the problem given, we have to know about the Malu's law of polarization.

<h3>What is Malu's law of polarization?</h3>
  • This law states that, when a beam of completely polarized light is passed through an analyzer, then then intensity I of the transmitted light varies directly as the square of the angle \alpha between the transmission direction of the polarizer and the analyzer.
  • The expression for this law will be,

                                         I=I_0cos\alpha

  • Where, I₀ is the maximum intensity of the transmitted light through the polarizer.
<h3>How to solve the problem?</h3>
  • From the question, it is clear that, the 25% of the intensity of a polarized light wave passes through the filter.

                                        \frac{I}{I_0} =0.25\\

  • Thus, the angle between electric field and the axis of the filter is,

                                        cos^2\alpha =0.25\\cos\alpha =\sqrt{0.25} =0.5\\\alpha =cos^-1(0.5)=60 degrees

Thus, we can conclude that, the angle between the electric field and the axis of the filter will be 60 degrees.

Learn more about the Malus law of polarization here:

brainly.com/question/28020002

#SPJ4

4 0
2 years ago
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