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A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ?
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A particle is projected vertically upward and it reaches the max. heig...
Height of a particle projected vertically upward at any time
When a particle is projected vertically upward, it follows a parabolic path due to the acceleration due to gravity. The height of the particle at any time t can be determined using the following formula:
h(t) = ut - 1/2 gt^2
Where:
- h(t) is the height of the particle at time t
- u is the initial velocity of the particle
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
Calculating the maximum height reached by the particle
When the particle reaches its maximum height, its velocity becomes zero. Therefore, we can use the following formula to calculate the maximum height:
H = u^2/2g
Where:
- H is the maximum height reached by the particle
Calculating the time taken by the particle to reach maximum height
Using the formula:
H = ut - 1/2 gt^2
and setting the velocity at the maximum height to zero, we get:
T = u/g
Where:
- T is the time taken by the particle to reach maximum height
Conclusion
Therefore, the height of the particle at any time can be calculated using the formula h(t) = ut - 1/2 gt^2, the maximum height reached by the particle can be calculated using the formula H = u^2/2g, and the time taken by the particle to reach maximum height can be calculated using the formula T = u/g.
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A particle is projected vertically upward and it reaches the max. heig...
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A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ?
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A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ?.
A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected vertically upward and it reaches the max. height H in timeT second. The height of the particle at any time t will be ?.
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