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A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s−2).
  • a)
    20ms−1, 10ms−1
  • b)
    10ms−1, 5ms−1
  • c)
    16ms−1, 8ms−1
  • d)
    30ms−1, 15ms−1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A man is standing on top of a building 100 m high. He throws two balls...
For first stone,
taking the vertical upwards motion of the first stone up to highest point
Here, u = u1, v = 0 (At highest point velocity is zero)
a = -g, S = h1
As v− u= 2aS

For second stone,
Taking the vertical upwards motion of the second stone up to highest point
here, u = U2, v = 0, a = −g, S = h2
As v− u2 = 2as

As per question

Subtract (ii) from (i), we get,

On substituting the given information, we get

or u= 20ms−1 and u= U1/2 = 10ms-1
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Most Upvoted Answer
A man is standing on top of a building 100 m high. He throws two balls...
To solve this problem, we can use the equations of motion for constant acceleration. Let's denote the initial velocity of the first ball as v1 and the initial velocity of the second ball as v2. Since the second ball is thrown with half the velocity of the first ball, we have v2 = v1/2.

Let's analyze the motion of the first ball. Its initial velocity is v1 and the acceleration is -g (negative because it's moving upwards). The equation of motion for the first ball is:

h1 = v1t - (1/2)gt^2

where h1 is the height of the first ball at time t.

Now let's analyze the motion of the second ball. Its initial velocity is v2 = v1/2 and the acceleration is -g. The equation of motion for the second ball is:

h2 = v2t - (1/2)gt^2

where h2 is the height of the second ball at time t.

The vertical gap between the two balls is h1 - h2. At t = 2 s, the gap is 15 m:

15 = (v1*2 - (1/2)*g*2^2) - (v1/2*2 - (1/2)*g*2^2)

Simplifying this equation, we get:

15 = (2v1 - 2g) - (v1 - g)

15 = v1 - g

Solving for v1, we find:

v1 = 15 + g

Since g = 10 m/s^2, we have:

v1 = 15 + 10 = 25 m/s

Therefore, the initial velocity of the first ball is 25 m/s.

The initial velocity of the second ball is half of v1:

v2 = v1/2 = 25/2 = 12.5 m/s

So the velocities with which the balls were thrown are 25 m/s for the first ball and 12.5 m/s for the second ball.
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A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s−2).a)20ms−1, 10ms−1b)10ms−1, 5ms−1c)16ms−1, 8ms−1d)30ms−1, 15ms−1Correct answer is option 'A'. Can you explain this answer?
Question Description
A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s−2).a)20ms−1, 10ms−1b)10ms−1, 5ms−1c)16ms−1, 8ms−1d)30ms−1, 15ms−1Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s−2).a)20ms−1, 10ms−1b)10ms−1, 5ms−1c)16ms−1, 8ms−1d)30ms−1, 15ms−1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s−2).a)20ms−1, 10ms−1b)10ms−1, 5ms−1c)16ms−1, 8ms−1d)30ms−1, 15ms−1Correct answer is option 'A'. Can you explain this answer?.
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