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From the top of a tower, 80 m high from the ground, a stone is thrown in the horizontal direction with a velocity of 8 ms–1. The stone reaches the ground after a time ‘t’ and falls at a distance of ‘d’ from the foot of the tower. Assuming g = 10 ms–2, the time t and distance d are given respectively by
  • a)
    6 s, 64 m
  • b)
    6 s, 48 m
  • c)
    4 s, 32 m
  • d)
    4 s, 16 m
Correct answer is option 'C'. Can you explain this answer?
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From the top of a tower, 80 m high from the ground, a stone is thrown ...
time of flight (t) = 
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From the top of a tower, 80 m high from the ground, a stone is thrown ...
To solve this problem, we need to use the equations of motion. Since the stone is thrown horizontally, the initial vertical velocity is zero.

We can use the equation for vertical displacement:

y = ut + (1/2)gt^2

where:
y = vertical displacement (80 m)
u = initial vertical velocity (0 m/s)
t = time (unknown)
g = acceleration due to gravity (-9.8 m/s^2)

Plugging in the values, we have:

80 = 0*t + (1/2)(-9.8)t^2
80 = (-4.9)t^2

Simplifying further:

t^2 = 80/(-4.9)
t^2 = -16.33

Since time cannot be negative, there is no real solution to this equation. This means that the stone will not hit the ground when thrown horizontally from the top of the tower. It will continue to move horizontally until it runs out of horizontal velocity or encounters some other obstacle.
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From the top of a tower, 80 m high from the ground, a stone is thrown in the horizontal direction with a velocity of 8 ms–1. The stone reaches the ground after a time ‘t’ and falls at a distance of ‘d’ from the foot of the tower. Assuming g = 10 ms–2, the time t and distance d are given respectively bya)6 s, 64 mb)6 s, 48 mc)4 s, 32 md)4 s, 16 mCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From the top of a tower, 80 m high from the ground, a stone is thrown in the horizontal direction with a velocity of 8 ms–1. The stone reaches the ground after a time ‘t’ and falls at a distance of ‘d’ from the foot of the tower. Assuming g = 10 ms–2, the time t and distance d are given respectively bya)6 s, 64 mb)6 s, 48 mc)4 s, 32 md)4 s, 16 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From the top of a tower, 80 m high from the ground, a stone is thrown in the horizontal direction with a velocity of 8 ms–1. The stone reaches the ground after a time ‘t’ and falls at a distance of ‘d’ from the foot of the tower. Assuming g = 10 ms–2, the time t and distance d are given respectively bya)6 s, 64 mb)6 s, 48 mc)4 s, 32 md)4 s, 16 mCorrect answer is option 'C'. Can you explain this answer?.
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