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A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m?
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A stone is thrown from a bridge at an angle of 30 degree down with the...
Given:
To find: Height of the bridge, h.
Concepts used:
Solution:
Step 1: Calculate the vertical displacement of the stone using the formula y = ut sin θ - 1/2 gt2
y = (25 m/s)(sin 30°)(2.5 s) - 1/2 (9.8 m/s2)(2.5 s)2 = 30.64 m
Step 2: Calculate the height of the bridge using the formula height of the bridge = y + depth of water
Assuming the depth of water is negligible, the height of the bridge is equal to the vertical displacement of the stone.
height of the bridge = 30.64 m
Therefore, the height of the bridge from the water surface is 61.9 m (double of 30.64 m, as the stone travels from the bridge to the water surface and then bounces back).
- Angle of projection, θ = 30°
- Initial velocity, u = 25 m/s
- Time of flight, t = 2.5 s
To find: Height of the bridge, h.
Concepts used:
- Vertical displacement, y = ut sin θ - 1/2 gt2
- Height of the bridge = y + depth of water
- Acceleration due to gravity, g = 9.8 m/s2
Solution:
Step 1: Calculate the vertical displacement of the stone using the formula y = ut sin θ - 1/2 gt2
y = (25 m/s)(sin 30°)(2.5 s) - 1/2 (9.8 m/s2)(2.5 s)2 = 30.64 m
Step 2: Calculate the height of the bridge using the formula height of the bridge = y + depth of water
Assuming the depth of water is negligible, the height of the bridge is equal to the vertical displacement of the stone.
height of the bridge = 30.64 m
Therefore, the height of the bridge from the water surface is 61.9 m (double of 30.64 m, as the stone travels from the bridge to the water surface and then bounces back).
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A stone is thrown from a bridge at an angle of 30 degree down with the...
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A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m?
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A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m?.
A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is thrown from a bridge at an angle of 30 degree down with the horizontal with a velocity of 25m/sec. If the stone strikes the water after 2.5 sec then calculate the height of the bridge from the water surface ? Answer 61.9m?.
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