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A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectively
  • a)
    t = 3 s, x = 45 m
  • b)
    t = 4 s, x = 54 m
  • c)
    t = 3 s, x = 54 m
  • d)
    t = 4 s, x = 45 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A stone is dropped from a height of 45 m on a horizontal level ground...
Given data:
Initial height (h) = 45 m
Vertical acceleration (g) = 10 m/s^2
Horizontal acceleration (a) = 10 m/s^2

Calculating time taken to reach the ground (t):
Using the kinematic equation for vertical motion:
h = 0.5 * g * t^2
45 = 0.5 * 10 * t^2
t^2 = 9
t = 3 seconds

Calculating horizontal displacement (x):
Using the kinematic equation for horizontal motion:
x = a * t^2
x = 10 * 3^2
x = 90 meters
The stone will cover a horizontal distance of 90 meters by the time it reaches the ground. However, the question asks for the net horizontal displacement from the time it is dropped until it reaches the ground. Since the stone is initially at a height of 45 meters, the net horizontal displacement will be 90 meters - 45 meters = 45 meters.
Therefore, the correct answer is option (a):
t = 3 seconds, x = 45 meters.
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A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectivelya)t = 3 s, x = 45 mb)t = 4 s, x = 54 mc)t = 3 s, x = 54 md)t = 4 s, x = 45 mCorrect answer is option 'A'. Can you explain this answer?
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A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectivelya)t = 3 s, x = 45 mb)t = 4 s, x = 54 mc)t = 3 s, x = 54 md)t = 4 s, x = 45 mCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectivelya)t = 3 s, x = 45 mb)t = 4 s, x = 54 mc)t = 3 s, x = 54 md)t = 4 s, x = 45 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectivelya)t = 3 s, x = 45 mb)t = 4 s, x = 54 mc)t = 3 s, x = 54 md)t = 4 s, x = 45 mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A stone is dropped from a height of 45 m on a horizontal level ground. There is the horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m s−2. (Take g = 10 m s−2). The time taken (t)t by stone to reach the ground and the net horizontal displacement (x) of the stone from the time it is dropped and till it reaches the ground are respectivelya)t = 3 s, x = 45 mb)t = 4 s, x = 54 mc)t = 3 s, x = 54 md)t = 4 s, x = 45 mCorrect answer is option 'A'. Can you explain this answer? 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.
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