A bullet fired at an angle of 30° with the horizontal hits the ground 3 km away. By adjusting its angle of projection can one hope to hit a target 5 km away. Assume the nuzzle speed to be fixed and neglect air resistance.

Asked by Last Modified  

2 Answers

Learn Physics

Follow 2
Answer

Please enter your answer

Rajan Kumar Mishra

Teachar

Range, R = 3 kmAngle of projection, θ = 30°Acceleration due to gravity, g = 9.8 m/s2Horizontal range for the projection velocity u0, is given by the relation:R = u02 Sin 2θ / g3 = u02 Sin 600 / gu02 / g = 2√3 …….(i)The maximum range (Rmax) is achieved by the bullet...
read more
Range,R= 3 kmAngle of projection,θ= 30°Acceleration due to gravity, g = 9.8 m/s2Horizontal range for the projection velocityu0, is given by the relation:R = u02Sin 2θ /g3 = u02Sin 600/ gu02/ g = 2√3 …….(i)The maximum range (Rmax) is achieved by the bullet when it is fired at an angle of 45° with the horizontal, that is,Rmax= u02/ g ….(ii) On comparing equations (i) and (ii), we get: Rmax= 3√3= 2 X 1.732 = 3.46 kmHence, the bullet will not hit a target 5 km away. read less
Comments
Dislike Bookmark

Awarded as a Best Physics Teacher from IIT

R=U²sin2@/g U=√(R×g/sin2@) U=√(3000×9.8/sin60°) U=184.25 For maximum range@=45° R (max)=U/g=3464 So it is not possible to reach the bullet on given target
Comments
Dislike Bookmark

Related Questions

Does a feather fall faster towards the ground in vacuum than in air?
Yes in any vacuum place only gravitational force will work on it and there won't be any air to stop it from falling faster.
Ramit
0 0
8
how many type of rcc beam are there?
The main types of RCC beams 1) Simply supported beam : supported at both the ends and free to rotate. 2) Fixed beam : Fixed at both the ends and cannot rotate. 3) Cantilever beam : Fixed at one end and...
Rahul

Why is only the speed of light constant in all frames of reference?
The only thing that affects the speed of light is the refractive index of the medium through which it moves, and for space, this number is 1.000000 and gives you the maximum possible speed of light.
Souradeep

What are vectors?
https://vz-3ad30922-ba4.b-cdn.net/db7918fa-2411-444b-99eb-6fb412b9d10f/play_480p.mp4
Suryansh

What is the gravitatioal SI unit of work done?
It's joule .for all type of work done and energy .
Samrat

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Dual Nature of Radiation and Matter
Cathode Rays Cathode rays are the stream of fast moving electrons. These rays are produced in a discharge tube at a pressure below 0.01 rom of mercury. Properties of Cathode Rays Cathode rays are...

Akhilesh Kumar

0 0
0
Difference between Rotatory and Translatory Equilibrium

Parul M P.

0 0
0
ELECTRO -36

Mohit Kumar

0 0
0
Acceleration due to gravity and its variation with altitude, depth and rotation of earth   I. Expression for acceleration due to gravity: Consider earth to be a sphere of radius 'R' and mass 'Me'....
R

Ratan Deshpande

0 0
0
Having trouble using Kinematic Equations?
How to use kinematic equations and when to use them? We all know the 3 kinematic equations which are S= ut + 1/2 at² V = u + at V²= u² + 2as Many students find it difficult to understand...

Shuddhodan Sapre

0 0
0

Recommended Articles

Top Benefits of e-Learning

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

How To Choose The Right School For Children?

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

Science, Arts Or Commerce - Which One To Go For?

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

The Trend of E-learning and it’s Benefits

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Find PUC Tuition near you
PUC Tuition in Delhi
PUC Tuition in Bangalore
PUC Tuition in Hyderabad
PUC Tuition in Kolkata
PUC Tuition in Mumbai
PUC Tuition in Chennai
PUC Tuition in Pune
PUC Tuition in Gurgaon
PUC Tuition in Noida
PUC Tuition in Ghaziabad

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you