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A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18s.What is the value of v? [2010] (take g = 10 m/s2)
  • a)
    75 m/s
  • b)
    55 m/s
  • c)
    40 m/s
  • d)
    60 m/s
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A ball is dropped from a high rise platform at t = 0 starting from res...
Clearly distance moved by 1st bal l in 18s = distance moved by 2nd ball in 12s.
Now, distance moved in 18 s by 1st
= 90 x 18 = 1620 m
Distance moved in 12s by 2nd ball
∴ 1620 = 12 v + 5 x 144
⇒    v = 135 – 60 = 75 ms –1
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Most Upvoted Answer
A ball is dropped from a high rise platform at t = 0 starting from res...
Given data:
- A ball is dropped from a high rise platform at t = 0 starting from rest.
- After 6 seconds another ball is thrown downwards from the same platform with a speed v.
- The two balls meet at t = 18s.
- g = 10 m/s^2

To find: value of v

Solution:
1. Let's consider the motion of the first ball (dropped from rest):
- Using the equation s = ut + 1/2 at^2, we can find the distance covered by the first ball in 18 seconds.
- Here, u = 0, a = g = 10 m/s^2, t = 18 s
- s = 0 + 1/2 * 10 * (18)^2
- s = 1620 m
- So, the first ball covers a distance of 1620 m in 18 seconds.

2. Now, let's consider the motion of the second ball (thrown downwards with speed v):
- Let's assume that the second ball covers the same distance as the first ball in 18 seconds.
- So, using the equation s = ut + 1/2 at^2, we can find the acceleration of the second ball.
- Here, s = 1620 m, u = v, a = g = 10 m/s^2, t = 12 s (as the second ball was thrown after 6 seconds)
- 1620 = v * 12 + 1/2 * 10 * (12)^2
- 1620 = 12v + 720
- 12v = 900
- v = 75 m/s

Therefore, the value of v is 75 m/s.

Answer: (a) 75 m/s
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A ball is dropped from a high rise platform at t = 0 starting from res...
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A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18s.What is the value of v? [2010] (take g = 10 m/s2)a)75 m/sb)55 m/sc)40 m/sd)60 m/sCorrect answer is option 'A'. Can you explain this answer?
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