A student buys a plastic dart gun and tries to find the maximum horizontal range. The student shoots the gun straight up and it takes 3.7 seconds for the dart to return back to the height of the barrel. What is the maximum horizontal range of the gun?

Answers

Answer 1

Answer:

The value is [tex]R_{max} = 33.54 \ m[/tex]

Explanation:

From the question we are told that

    The total time of flight is  [tex]t = 3.7 \ s[/tex]

Generally from kinematic equation

        [tex]v = u - g * \frac{t}{2}[/tex]

So v is the velocity at maximum height and the value is  v = 0 m/s

So

       [tex]0 = u - 9.8 * \frac{ 3.7}{2}[/tex]

=>   [tex]u = 18.13 \ m/s[/tex]

Here u  is the initial velocity of the dart as it leaves that gun  

Gnerally the horizontal range of the dart is mathematically represented as

         [tex]R = \frac{u ^2 sin 2\theta }{g}[/tex]

For maximum horizontal range the value of  [tex]\theta = 45^o[/tex]        

So

         [tex]R_{max} = \frac{ 18.13 ^2 sin 2(45) }{9.8}[/tex]

=>     [tex]R_{max} = 33.54 \ m[/tex]


Related Questions

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In Harry Bahrick’s study, he found participants to be really good at recognizing the __________ of old high school classmates.
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Answer:

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Explanation:

Answer:

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A compressed spring stores 720 J of energy. A 1 kg block rests on the end of the spring. The spring is released and comes back to its uncompressed length pushing the block away. What is kinetic energy of the block as it leaves the spring? What is the speed of the block at this instant?

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Answer:

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Explanation:

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How far does the gravitational field of Earth extend?

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Answer:

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Answer:

Playing Guitar

Explanation:

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Answer:

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Answers

To Find :

Which element accumulates in the environment due to the use of  fertilizers.

Solution :

Most of the fertilizers used in daily practice are nitrogen fertilizers .

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Also, nitrogen is very stable and did not participate in most of the reactions.

So, nitrogen is accumulates in the environment .

Therefore, option C. is correct.

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Hope this helps.
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Answers

Answer:

200 N

Explanation:

There is only two needed factors in play here; the mass and acceleration

According to Newton's 2nd Law: F = m*a

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Answer:

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Answers

I’d say the answer is “B”

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What is amplitude ?

Amplitude of a wave is the distance from the midpoint of a crest to its top or the distance from the midpoint of a trough to its bottom. For a wave the peak to the top is called crest and peak to the bottom or decline is called troughs.

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Answer:

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कृपया ब्रेनलिस्ट का उत्तर केवल 1more उत्तर देने का प्रयास करें।

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Answer:

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Explanation:

Answer:

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are composed of oscillating magnetic and electric fields.

A changing magnetic field will induce a changing electric field and vice-versa the two are linked. These changing fields form electromagnetic waves.This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

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Answers

Answer:

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Answer:

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Answers

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Answer:

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Answer:

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A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground. The correct option is D.

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Yes the text in the red is correct.

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Answer:

Constructed cladograms all typically share certain key features: Root – The initial ancestor common to all organisms within the cladogram (incoming line shows it originates from a larger clade) Nodes – Each node corresponds to a hypothetical common ancestor that speciated to give rise to two (or more) daughter taxa.

Explanation:

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Reply quick pls
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The ball was moving for 0.8seconds
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Hope this helps and good luckkkk :)

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im pretty sure it’s 25,100 J because i had seen the same question a few times with this answer, hope it helps!

Answer:

c, 25,100 J

Explanation:

edge2o2o

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If it is on land gravitational force
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Find our the total distance between those 2 womens after 100 seconds. Refer the image for the full question ASAP. Give me a complete brief solution of this above question!​

Answers

Given

[tex]\small\bf\red{First\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 15m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

[tex]\small\bf\green{Second\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 20m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

To Find

[tex]\:\:\:\:\bullet\:\:\sf{Distance \: between \:them \:after \:{\sf{\blue{100 \:seconds}}}} \\ [/tex]

Solution

[tex]\\→\:\:\:\sf Distance\: travelled \:by \:1st \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]→\:\:\:\sf 15 \times 100[/tex]

[tex]→\:\;\:\sf 1500m[/tex]

[tex]→\:\:\:\sf s_{1} = {\sf{\red{1500m}}} \\ \\ [/tex]

[tex]\Rightarrow\:\:\:\sf Distance \:travelled \:by\: 2nd \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]\Rightarrow\:\:\:\sf 20 \times 100[/tex]

[tex]\Rightarrow\:\:\:\sf 2000m[/tex]

[tex]\Rightarrow\:\:\:\sf s_{2} = {\sf{\purple{2000m}}} \\ \\ [/tex]

[tex]\small{\underline{\bf{Now, \:Distance \:between \:them\: =\: s_{2} - s_{1}}}_{}}[/tex]

[tex]\hookrightarrow\:\:\:\sf 2000 - 1500[/tex]

[tex]\hookrightarrow\:\:\:\bf \pink{500m} \\ \\ [/tex]

[tex]{\underline{\bf{Hence, }}}[/tex]

Total Distance between them after [tex]\bf{100 \:seconds}[/tex] is [tex]\bf\orange{500m}[/tex]

If the velocity of an airplane is doubled, then its kinetic energy
will increase by a factor of

Answers

Answer:4

Explanation:

If the velocity of an airplane is doubled, then its kinetic energy will increase by a factor of four.

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The ability of an object to do work by virtue of its motion.

The kinetic energy is represented mathematically as

K.E = 1/2 mv²

where v is the velocity with which the object is moving and m is its mass.

When the velocity is doubled, kinetic energy is

K.E' = 1/2 m(2v)²

K.E' =4 x ( 1/2 mv²)

Thus,  airplane's kinetic energy will increase by a factor of four.

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