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A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?
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A stone is thrown in a vertically upward direction with a velocity of ...
Height attained by the stone and time taken to reach there
- Initial velocity and acceleration
The stone is thrown upward with an initial velocity of 5 m/s. The acceleration acting on the stone is 10 m/s^2 in the downward direction.
- Time taken to reach the highest point
To find the time taken to reach the highest point, we can use the equation: v = u + at, where v is the final velocity (0 m/s at the highest point), u is the initial velocity, a is the acceleration, and t is the time taken.
Plugging in the values, we get:
0 = 5 + (-10)t
t = 0.5 seconds
- Height attained by the stone
Using the equation: s = ut + (1/2)at^2, where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time taken.
Plugging in the values, we get:
s = 5(0.5) + (1/2)(-10)(0.5)^2
s = 2.5 - 1.25
s = 1.25 meters
- Conclusion
The stone will reach a height of 1.25 meters and it will take 0.5 seconds to reach that height.
- Initial velocity and acceleration
The stone is thrown upward with an initial velocity of 5 m/s. The acceleration acting on the stone is 10 m/s^2 in the downward direction.
- Time taken to reach the highest point
To find the time taken to reach the highest point, we can use the equation: v = u + at, where v is the final velocity (0 m/s at the highest point), u is the initial velocity, a is the acceleration, and t is the time taken.
Plugging in the values, we get:
0 = 5 + (-10)t
t = 0.5 seconds
- Height attained by the stone
Using the equation: s = ut + (1/2)at^2, where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time taken.
Plugging in the values, we get:
s = 5(0.5) + (1/2)(-10)(0.5)^2
s = 2.5 - 1.25
s = 1.25 meters
- Conclusion
The stone will reach a height of 1.25 meters and it will take 0.5 seconds to reach that height.
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A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?
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A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there? 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 thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?.
A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there? 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 thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is thrown in a vertically upward direction with a velocity of 5 ms~1. If the acceleration of the stone during its motion is 10 ms~2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?.
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