UPSC Exam  >  UPSC Questions  >  A stone is projected from a point on the grou... Start Learning for Free
A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone is
a. 8 m s−1
b. 15 m s−1
c. 12 m s−1
d. 9 m s−1?
Most Upvoted Answer
A stone is projected from a point on the ground in such a way so as to...
Given:
- Initial height of the bird, h = 3h
- Maximum height of the stone, 4h
- Horizontal speed of the bird, 10 m/s

Calculating Time of Flight:
- Let the initial speed of the stone be u m/s.
- At maximum height, vertical component of velocity = 0
- Using the equation v^2 = u^2 + 2as, where v = 0, a = -g and s = 4h,
we get 0 = u^2 - 8gh
- Solving for u, we get u = √(8gh)
- Time taken to reach maximum height, t = u/g
- Total time of flight = 2t

Calculating Horizontal Range:
- Horizontal range, R = Horizontal speed * Total time of flight
- R = 10 * 2t = 20t

Calculating Horizontal Distance Covered by Bird:
- Horizontal distance covered by bird in time t = 10t
- Horizontal distance covered by bird = 10t

Since the stone hits the bird, the horizontal range and the horizontal distance covered by the bird must be equal:
- 20t = 10t
- t = 0.5 seconds

Calculating Horizontal Velocity of Stone:
- Horizontal velocity of stone = Horizontal range / Total time of flight
- Horizontal velocity of stone = 20t / 2t = 10 m/s
Therefore, the horizontal velocity of the stone is 10 m/s. This means option b. 15 m/s, is incorrect.
Explore Courses for UPSC exam

Top Courses for UPSC

A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1?
Question Description
A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1?.
Solutions for A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? defined & explained in the simplest way possible. Besides giving the explanation of A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1?, a detailed solution for A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? has been provided alongside types of A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? theory, EduRev gives you an ample number of questions to practice A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a maximum height 4h above the ground. If at the instant of projection, the bird flies away horizontally with speed 10 m s−1 and the stone still hits the bird while descending, then the horizontal velocity of stone isa. 8 m s−1b. 15 m s−1c. 12 m s−1d. 9 m s−1? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev