JEE Exam > JEE Questions > A body is projected vertically up from a foot...
Start Learning for Free
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet?
?
Most Upvoted Answer
A body is projected vertically up from a foot of the tower at the same...
Problem Statement
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet?
Understanding the Problem
The problem involves two bodies, one is dropped from a height of 392m and the other is projected upwards from the foot of the tower. The velocity of the projectile is given as 98m/s. We need to find the time and location where the two bodies will meet.
Approach to Solve
- Calculate the time taken by the dropped body to reach the ground.
- Calculate the distance covered by the projected body during the time taken by the dropped body to reach the ground.
- Find the height at which the two bodies will meet.
- Find the time at which the two bodies will meet.
Solution
- The time taken by the dropped body to reach the ground can be calculated using the formula,
time = sqrt(2 * height / g)
where g is the acceleration due to gravity, which is approximately equal to 9.8 m/s^2.
Hence, time taken by dropped body, t1 = sqrt(2 * 392 / 9.8) = 8 seconds.
- During the time taken by the dropped body to reach the ground, the projected body will cover a distance equal to,
distance = velocity * time
Hence, distance covered by the projected body, d1 = 98 * 8 = 784m.
- Let h be the height at which the two bodies will meet. The time taken by the projected body to reach this height can be calculated using the formula,
time = velocity / g
Hence, time taken by the projected body, t2 = 98 / 9.8 = 10 seconds.
- During the time taken by the projected body to reach the height where the two bodies meet, the dropped body would have covered a distance equal to,
distance = 0.5 * g * t^2
Hence, distance covered by the dropped body, d2 = 0.5 * 9.8 * (10-8)^2 = 19.6m.
- Therefore, the height at which the two bodies will meet is
h = 392 - (d1 + d2) = 392 - (784 + 19.6) = 588.4m.
The time at which the two bodies will meet is
t = t1 + (h / velocity) = 8 + (588.4 / 98) = 14 seconds.
Community Answer
A body is projected vertically up from a foot of the tower at the same...
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)?
Question Description
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)?.
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)?.
Solutions for A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? defined & explained in the simplest way possible. Besides giving the explanation of
A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)?, a detailed solution for A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? has been provided alongside types of A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? theory, EduRev gives you an
ample number of questions to practice A body is projected vertically up from a foot of the tower at the same time another body is dropped from top of the tower. If the height of the tower is 392m and the velocity of the projectile is 98m/s. Find when and where the two bodies will meet? Related: Speed and Velocity (Average and Instantaneous)? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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