A gun kept on a straight horizontal road is used to hit a car travelling on the same road away from the gun at a uniform speed of 14.14 ms -1. The car is at a distance of 150 m from the gun when it is fired at an angle of 45° to the horizontal. What is the distance of the car from the gun when the shell hits it?

Answers

Answer 1

Answer:

250 m

Explanation:

In projectile, range is given as;

R = (v²sin 2θ)/g

We are given θ = 45°

Thus range of shell is;

R = (v²sin (2 × 45))/g

R = v²/g

Now, distance for the shell to hit the car will be; 150 + 14.14t

This will be equal to the range of shell;

150 + 14.14t = v²/g

Where t is time of flight

Now, time of flight is given by;

t = (2vsin θ)/g

t = (2v sin 45)/g

In surf form, we have;

t = (2v/(g√2))

Simplifying further gives;

t = (v√2)/g

Plugging this value of t into the distance equation gives;

150 + 14.14(v√2)/g = v²/g

Assuming g is 10 m/s², we have;

150 + 14.14(v√2)/10 = v²/10

Multiply through by 10 to get;

1500 + 14.14(v√2) = v²

v² - 20v - 1500 = 0

From quadratic equation calculator, we have; v = 50 m/s

Thus, t = (50√2)/g

t = (50√2)/10

t = 5√2

Plugging this into the distance equation gives;

Distance = 150 + 14.14(5√2) = 250 m


Related Questions

Which statement best defines work.
A) Work is the time it takes to move an object once acted upon by a force
B) Work occurs when balanced forces act on a object and cause movement in the direction of these forces
C) Work occurs when a force causes motion of an object, and this motion is the same directional the applied force
D) Work is the distance over time that an object moves once acted on by a force

Answers

Work is in units of Jules, so any comparison with time is incorrect. Answer D is the definition for velocity, which is incorrect. Answer C is the correct answer

A hockey stick strikes a hockey puck of mass 0.17 kg. If the force exterted on the hockey puck is 35.0 N and there is a force of friction of 2.7 N opposing the motion. what is the acceleration of the hockey puck?

Choices:
0.0054 m/s^2
0.005 m/s^2
200 m/s^2
190 m/s^2

Answers

Answer:

[tex]a=190\ m/s^2[/tex]

Explanation:

Mass of a hockey puck, m = 0.17 kg

Force exerted by the hockey puck, F' = 35 N

The force of friction, f = 2.7 N

We need to find the acceleration of the hockey puck.

Net force, F=F'-f

F=35-2.7

F=32.3 N

Now, using second law of motion,

F = ma

a is the acceleration of the hockey puck

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{32.3}{0.17}\\\\a=190\ m/s^2[/tex]

So, the acceleration of the hockey puck is [tex]190\ m/s^2[/tex].

The magnitude of acceleration of the hockey puck is 190 m/s² .

Given data:

The mass of hockey puck is, m = 0.17 kg.

the magnitude of external force on the puck is, F = 35.0 N.

The magnitude of force of friction is, f = 2.7 N.

We need to find the net force acting on the puck first. For that consider the applied force in the x-direction. Then net force is,

F' = F - f

Solving as,

F' = 35.0 - 2.7

F' = 32.3 N

Now, use the Newton's Second law to obtain the magnitude of acceleration (a) as,

F' = ma

Solving as,

32.3 = 0.17 (a)

a = 32.3/0.17

a = 190 m/s²

Thus, we can conclude that the magnitude of acceleration of the hockey puck is 190 m/s² .

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which of the following includes an example of a chemical property of an element?
a. aluminum is solid at room temperature
b. sulfur is not shiny and is not malleable
c. sodium is a solid at room temperature and reacts to other elements.
d. silicone is shiny and is a poor conducted of electricity​

Answers

Answer:

d. silicone is shiny and is a poor conducted of electricity​

The best option that describes an example of a chemical property of an element is silicone is shiny and is a poor conductor of electricity​. Option D is correct.

The chemical properties of elements are those properties that are noticeable during the course of a chemical reaction.

Aluminum is solid but not at room temperature. The elements that are solid at room temperature are iron, zinc, gold, and silver. Hence option is incorrect.  The same is applicable to options B and C.

The best option that describes an example of a chemical property of an element is silicone is shiny and is a poor conductor of electricity​

Learn more here: https://brainly.com/question/19038555

1. A skateboarder is skating over a circular bump. He is at the top of the bump and is
moving rightward. Is the normal force exerted on the skateboarder by the bump greater
than, less than, or equal to the weight of the skateboarder? Explain your reasoning.

Answers

Answer:

The normal force exerted on the skateboarder by the bump is less than the weight of the skateboarder

Explanation:

The given parameters are;

The location of the skateboarder = The top of the circular bump

The direction of motion of the skateboarder = Rightward

Therefore, given than the skateboarder has both horizontal angular motion (moving rightward) and vertical angular motion (over the bump), The effect of the weight of the skateboarder on the ground is reduced by the centripetal forces acting on the skateboarder and the normal force exerted on the skateboarder by the bump is equal to the reduced weight and is therefore less than the actual weight of the skateboarder.

The normal force exerted on the skateboarder is less than the weight due to the effect of centripetal force.

Given data:

The position of skateboarder is at top of the circular bump.

And direction of motion of Skateboarder is towards rightward.

Since, the skateboarder is undergoing the motion over the circular path, then it will have both horizontal angular motion (moving rightward) and vertical angular motion (over the bump).

The effect of the weight of the skateboarder on the ground is reduced by the centripetal forces acting on the skateboarder and the normal force exerted on the skateboarder by the bump is equal to the reduced weight and is therefore less than the actual weight of the skateboarder.

Thus, we can conclude that the normal force exerted on the skateboarder is less than the weight due to the effect of centripetal force.

Learn more about the centripetal force here:

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Subduction zones are found at ________ plate boundaries. *
5 points
ocean to continental convergent
Transform
ocean to continental divergent
continental to continental divergent

Answers

Answer:

A. Ocean to continental convergent

When soda bottles are sealed in a factory, the bottles are all the same temperature with the same pressure of gas inside. A student decides to perform an experiment to determine what changes will result from adjusting the temperatures of two sealed soda bottles. One bottle of soda is heated, while the other is cooled.
Which statement describes a result of the experiment?

Answers

Answer: changes will result from adjusting the temperatures of two sealed soda

Explanation:

the preasure builds up and makes the bottle expand so it might crack but the other one will become ice then will crack the sides

Answer:

changes

Explanation:

is it possible that during the big bang the laws of physics changed?

Answers

Answer:

yes, so many answers to that like possibilities

Explanation:

i watch a movie

Jim traveled the first 3 hours of his journey at speed of 60 mph and the remaining 5 hours at 24 mph. How long is the whole journey in miles?

Answers

Answer:

300 miles

Explanation:

3*60 + 5*24 = 300

How does a transistor work?
i need three examples !

Answers

Answer:

A transistor works when the electrons and the holes start moving across the two junctions between the n-type and p-type silicon. ... By turning a small input current into a large output current, the transistor acts like an amplifier. But it also acts like a switch at the same time.

Explanation:

When we look at a book in the sunlight, what must happen to the light for our eyes to see the book?

Answers

Answer:

Sometimes you can see light from the Sun passing through clouds and the sunbeams appear as straight lines. After light has been reflected off an object, such as a tree or a book, it still travels in straight lines, but in a new direction.

Explanation:

What are the three components of the FITT acronym associated with overload and progression?
A.
frequency, intensity, and type
B.
time, frequency, and intensity
C.
fitness, intensity, and time
D.
type, intensity, and fitness

Answers

I think it’s B hope this helps


Sorry if wrong

Answer:

B

Explanation:

What is the momentum of an object with a mass of 60 kg and velocity of 10 m/s?

Answers

Explanation:

Linear momentum= Mass*Velocity

P=mv

P=60*10

P=600Kg m/s

A bus travels at a constant speed of 40.0 m/s for .8h. Whats the total distance travelled in km.

Answers

Answer:

1,152 km. Hope this helps!

Explanation:

what is matter and explain ?​

Answers

Answer:

It is a physical matter that takes up all things.

Explanation:

By take up i mean structures and properties. Let me know you if have more questions about matter :D

Explain the energy needed for a liquid to evaporate into gas

Answers

As the molecules at the surface of a liquid absorb heat, they begin to move around more quickly. This gives them the energy to break the bonds that connect them to other water molecules. When the molecules are moving fast enough, they are able to "escape." They leave the surface of the liquid as gas molecules

24. What does the atomic number tell you about an atom? What does the mass number tell you about
an atom?

HELP ME ASAPP!

Answers

Answer:

Atomic number is the number of protons in the nucleus. The mass number of an atom tells you the total number of protons and neutrons in the nucleus.

Quick does the watermelon have more or less mass then the 2kg bottle?

Answers

Answer

it will be less\

Explanation:

If a chemical reaction begins with 23 atoms of sodium, how much sodium will be present at the end of the reaction?

Answers

23 grams because matter can’t disappear

in summer, it is cooler in the ground floor than in the top floor of a building. it is because the warm air rises up due to convention. why does warm air rises up? ​

Answers

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Explanation:

1.
In 10 seconds a car accelerates 4m/s? to 50 m/s.
How fast was the car going before it accelerated?
2.
Variables:
Equation and Solve:

In 10 seconds a car accelerates 4m/s2 to 50 m/s. How fast was the car going before it accelerated?

Answers

Answer:

i love devon bostick

Explanation:

cause....... i do

Answer: It was going 4 m/s

Explanation:

A dolphin swims 1.85 km/hr how far has the dolphin traveled after 0.6 hours

A 1.11km

B 3.08km

C 0.32km

D 1.85km

Answers

Answer:

The answer is option A

Explanation:

In order to find the distance covered we use the formula

distance = velocity × time

From the question

velocity = 1.85 km/hr

time = 0.6 hours

We have

distance = 1.85 × 0.6

We have the final answer as

1.11 km

Hope this helps you

A bus trip covers 191 km and takes 4 hours and 15 minutes. What is the average speed of the bus in kilometers per hour?

Answers

Answer: 46 kph

Explanation:

191 ÷ 4.15 = 46.02

It might not be right

A bowling bowl rolls 33m with an average speed of 2.5 m/s how many seconds did the ball roll

Answers

Time = distance / speed
Time = 33 / 2.5 = 13.2 seconds

Which statement about mass and inertia is not true?
A. Both mass and inertia play a role in Newton's first law.

B.Mass is a quantitative measurement of inertia.

C. The tendency of an object to remain at rest results from a property called inertia.

D.Newton's first law is sometimes called the relative inertia law.""​

Answers

Answer:

D. Newton's first law is sometimes called the relative inertia law.

Explanation:

Newton's first law of motion states that an object at rest will stay at rest and that in motion will stay in motion with same speed and in the same direction unless an unbalanced force acts on it. It is also called the law inertia. Mass and inertia play a role in this law because mass is a quantity that mainly depends on inertia in that a body with more inertial will exhibit more mass.

help me guyzz plzz.......​

Answers

answer:

1.When an electric current is passed through a conductor, the conductor becomes hot after some time and produce heat. This happens due to the conversion of some electric energy passing through the conductor into heat energy. This effect of electric current is called heating effect of current.

2.As per the law of combination of resistances in series,

R=R1 +R2 +R3+R4+R5

R=0.2+0.2+0.2+0.2+0.2

=1ohm

3.power is amount of electrical energy consumed per unit time. Amount of power consumed in a device is proportional to the current flowing in the device. The unit of electric power is watt.

Convert 250 pounds to kg

Answers

Answer:

250 pound = 113 kg i guess

how many current can absorb human body

Answers

Answer:

about 10 milliamperes

Explanation:

currents above 10ma can paralize or "freeze bodies"

14. Give an example of condensation.

Answers

Condensation is the water on the outside of a cold cup of water on a hot day.

scientific findings that prove the strong nuclear force exsist

Answers

Answer:    The strong nuclear force is one of the four fundamental forces in nature; the other three are gravity, electromagnetism and the weak force. As its name implies, the strong force is the strongest force of the four. It is responsible for binding together the fundamental particles of matter to form larger particles

A student is standing on a very steep hill, kicks a soccer ball horizontally with a speed of 10 m/s toward a student who is sitting on a level field 3 meters below. How long does it take the soccer ball to strike the ground?

Answers

Answer:

0.782 seconds

Explanation:

We are given that the ball starts out on a hill that is 3 m above a level field below. And that the ball is kicked horizontally. We are asked how long the ball takes to hit the ground 3 meters below.

On closer consideration of the given situation, it is important to realize that even though the ball starts out with a speed of 10m/s in the horizontal direction, that this will not make a difference in how fast the ball travels in the vertical direction (which is what the question is basically asking for). Hence for this question, we can ignore the initial horizontal speed of the ball and realize that the initial vertical speed is 0 m/s.

Recall that one of the equations of motion can be expressed as:

s = ut + (1/2) at²       (refer to attached for reference)

where,

Applied in the vertical direction,

s = vertical distance travelled = 3 meters in this case

u = initial vertical velocity = 0 m/s in this case

a = acceleration due to gravity, g = 9.81 m/s²

t = time taken ( we are asked to find this)

simply substituting the known values above into the equation:

s = ut + (1/2) at²

3 = 0 + (1/2) (9.81)t²

3 = 4.905t²

t² = 3 / 4.905

t² = 0.61162

t = √0.61162

t = 0.782 seconds

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