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By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2?
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By which velocity a ball be projected vertically downward so that the ...
Problem: Find the initial velocity of a ball projected vertically downwards so that the distance covered by it in the 5th second is twice the distance it covers in its 6th second, given that g=10m/s^2.
Solution:
Let the initial velocity of the ball be u.
Using the first equation of motion,
s = ut + 1/2 at^2
The distance covered by the ball in the 5th second is given by,
s5 = u(5) + 1/2 (10)(5)^2
s5 = 25u + 125
The distance covered by the ball in the 6th second is given by,
s6 = u(6) + 1/2 (10)(6)^2
s6 = 30u + 180
Given that s5 = 2s6
25u + 125 = 2(30u + 180)
25u + 125 = 60u + 360
35u = 235
u = 6.71 m/s (approx)
Therefore, the initial velocity of the ball should be 6.71 m/s (approx) for the distance covered by it in the 5th second to be twice the distance it covers in its 6th second.
Answer: The initial velocity of the ball should be 6.71 m/s (approx).
Solution:
Let the initial velocity of the ball be u.
Using the first equation of motion,
s = ut + 1/2 at^2
The distance covered by the ball in the 5th second is given by,
s5 = u(5) + 1/2 (10)(5)^2
s5 = 25u + 125
The distance covered by the ball in the 6th second is given by,
s6 = u(6) + 1/2 (10)(6)^2
s6 = 30u + 180
Given that s5 = 2s6
25u + 125 = 2(30u + 180)
25u + 125 = 60u + 360
35u = 235
u = 6.71 m/s (approx)
Therefore, the initial velocity of the ball should be 6.71 m/s (approx) for the distance covered by it in the 5th second to be twice the distance it covers in its 6th second.
Answer: The initial velocity of the ball should be 6.71 m/s (approx).
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By which velocity a ball be projected vertically downward so that the ...
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By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2?
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By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2?.
By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s^2?.
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