NEET Exam > NEET Questions > A ball is dropped from the top of a tower of...
Start Learning for Free
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet is
- a)68.4 m
- b)48.4 m
- c)18.4 m
- d)78.4 m
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A ball is dropped from the top of a tower of height 100 m and at the ...
Most Upvoted Answer
A ball is dropped from the top of a tower of height 100 m and at the ...
Given:
Height of the tower, h = 100 m
Initial velocity of the ball projected upwards, u = 25 m/s
Acceleration due to gravity, g = 9.8 m/s²
To find:
Distance from the top of the tower, at which the two balls meet
Explanation:
Let's first calculate the time taken by each ball to reach the meeting point.
For the ball dropped from the top of the tower:
Using the equation of motion,
h = ut + 1/2 gt²
where h = 100 m, u = 0 m/s (as it is dropped), g = 9.8 m/s²
On substituting the values, we get
100 = 0 × t + 1/2 × 9.8 × t²
Simplifying, we get
t² = 100/4.9
t = √(100/4.9) = 4.52 s
For the ball projected upwards from ground:
Using the equation of motion,
v = u + gt
where v = 0 m/s (at the highest point), u = 25 m/s, g = 9.8 m/s²
On substituting the values, we get
0 = 25 – 9.8 × t
t = 25/9.8 = 2.55 s
Now, let's calculate the distance from the top of the tower, at which the two balls meet.
Distance travelled by the ball dropped from the top of the tower in 4.52 s:
Using the equation of motion,
s = ut + 1/2 gt²
where u = 0 m/s, g = 9.8 m/s², t = 4.52 s
On substituting the values, we get
s = 0 × 4.52 + 1/2 × 9.8 × (4.52)² = 100 m
Distance travelled by the ball projected upwards from ground in 2.55 s:
Using the equation of motion,
s = ut + 1/2 gt²
where u = 25 m/s, g = 9.8 m/s², t = 2.55 s
On substituting the values, we get
s = 25 × 2.55 + 1/2 × 9.8 × (2.55)² = 78.4 m
Therefore, the distance from the top of the tower, at which the two balls meet is 78.4 m.
Hence, the correct answer is option D.
Height of the tower, h = 100 m
Initial velocity of the ball projected upwards, u = 25 m/s
Acceleration due to gravity, g = 9.8 m/s²
To find:
Distance from the top of the tower, at which the two balls meet
Explanation:
Let's first calculate the time taken by each ball to reach the meeting point.
For the ball dropped from the top of the tower:
Using the equation of motion,
h = ut + 1/2 gt²
where h = 100 m, u = 0 m/s (as it is dropped), g = 9.8 m/s²
On substituting the values, we get
100 = 0 × t + 1/2 × 9.8 × t²
Simplifying, we get
t² = 100/4.9
t = √(100/4.9) = 4.52 s
For the ball projected upwards from ground:
Using the equation of motion,
v = u + gt
where v = 0 m/s (at the highest point), u = 25 m/s, g = 9.8 m/s²
On substituting the values, we get
0 = 25 – 9.8 × t
t = 25/9.8 = 2.55 s
Now, let's calculate the distance from the top of the tower, at which the two balls meet.
Distance travelled by the ball dropped from the top of the tower in 4.52 s:
Using the equation of motion,
s = ut + 1/2 gt²
where u = 0 m/s, g = 9.8 m/s², t = 4.52 s
On substituting the values, we get
s = 0 × 4.52 + 1/2 × 9.8 × (4.52)² = 100 m
Distance travelled by the ball projected upwards from ground in 2.55 s:
Using the equation of motion,
s = ut + 1/2 gt²
where u = 25 m/s, g = 9.8 m/s², t = 2.55 s
On substituting the values, we get
s = 25 × 2.55 + 1/2 × 9.8 × (2.55)² = 78.4 m
Therefore, the distance from the top of the tower, at which the two balls meet is 78.4 m.
Hence, the correct answer is option D.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer?
Question Description
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer?.
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms–1. Then the distance from the top of the tower, at which the two balls meet isa)68.4 mb)48.4 mc)18.4 md)78.4 mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup