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? (take g = 10 m/s2)(a) 75 m/s (b) 55 m/s(c) 40 m/s (d) 60 m/s
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Answer:
A) 75 m/sec
Explanation:
t = 0 (Given)
Time when ball is dropped = 6 sec (Given)
Time when balls meet = 18 sec (Given)
The vertical distance traveled by ball one by t = 18 sec
= s1 = u × t + 1/2 gt²
= s1 = 0 + 1/2 g × 18²
= 162 g
Distance traveled by ball two in 12 secs. from t=6 sec to 18 sec.
= s2 = v × 12 + 1/2 g × 12²
= 12v+72 g
s1 = s2
= 12 v = 90 g
= v = 7.5 g
or 75 m/sec
Thus, when the two balls meet at t = 18s the value of v is 75 m/sec
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