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Grade 11Mechanics

A ball is dropped from a bridge of 122.5 metres above a river . After the ball has been falling for two seconds, a second ball is thrown straight down after it. Initial velocity of second ball so that both hit the water at the same time is

Profile image of Soumyadeep
11 Years agoGrade 11
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3 Answers

Profile image of Hasan Naqvi
11 Years ago
time taken by first ball to hit water can be found as
 
s= ut + ½ gt2
122.5 = ½ * 9.8 * t2
t2=  25
t =5 
 
Now the next ball must cover this distance in 3 s to hit water at same time.
122.5 = 3 u + ½ * 9.8 * 32
122.5 = 3u + 44.1
3u = 78.4
u= 26.133 m/s
 
Profile image of Adarsh Anand
10 Years ago
 
time taken by first ball to hit water can be found as
 
s= ut + ½ gt2
122.5 = ½ * 9.8 * t2
t2=  25
t =5 
 
Now the next ball must cover this distance in 3 s to hit water at same time.
122.5 = 3 u + ½ * 9.8 * 32
122.5 = 3u + 44.1
3u = 78.4
u= 26.133 m/s
Profile image of Kushagra Madhukar
5 Years ago
Dear student,
Please find the solution to your problem.
 
Time taken by first ball to hit water can be found as
s= ut + ½ gt2
122.5 = ½ * 9.8 * t2
t2=  25
t =5
 
Now the next ball must cover this distance in 3 s to hit water at same time.
122.5 = 3 u + ½ * 9.8 * 32
122.5 = 3u + 44.1
3u = 78.4
u= 26.133 m/s
 
Thanks and regards,
Kushagra