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A stone is dropped from a height of 45 m on a horizontal level ground. There is horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).
The time taken (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?
Verified Answer
A stone is dropped from a height of 45 m on a horizontal level ground....
Taking motion in vertical direction, 

 u = 0, g = 10 m/s, h = 45 m

⇒ h = 0 + (1/2) gt 2
⇒ t =  √(2h/g) = √[(2× 45)/10]
⇒ t = 3 sec.
(b) Taking motion in horizontal direction,

 
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Most Upvoted Answer
A stone is dropped from a height of 45 m on a horizontal level ground....
Given information:
- Height of the stone (h) = 45 m
- Gravitational acceleration (g) = 10 m/s^2
- Horizontal acceleration due to wind (a) = 10 m/s^2

To find:
- Time taken by the stone to reach the ground (t)
- Net horizontal displacement of the stone (x)

Using the equations of motion, we can solve for these values.

1. Time taken by the stone to reach the ground (t):
Using the equation of motion for vertical motion:
h = (1/2)gt^2
45 = (1/2)(10)(t^2)
t^2 = 9
t = √9
t = 3 s

Therefore, the time taken by the stone to reach the ground is 3 seconds.

2. Net horizontal displacement of the stone (x):
Using the equation of motion for horizontal motion:
x = at^2 / 2
x = (10)(3^2) / 2
x = 90 / 2
x = 45 m

Therefore, the net horizontal displacement of the stone is 45 meters.

Thus, the correct answer is option 'A': t = 3 s, x = 45 m.
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A stone is dropped from a height of 45 m on a horizontal level ground. There is horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).The time taken (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?
Question Description
A stone is dropped from a height of 45 m on a horizontal level ground. There is horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).The time taken (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 horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).The time taken (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 horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).The time taken (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 horizontal wind blowing due to which horizontal acceleration of the stone becomes 10 m/s2.(Take g = 10 m/s2).The time taken (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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