From the top of the tower 100m in height a ball is dropped and at the same time another ball is projected vertically upward from the ground with velocity of 25m/s. Find when and where the 2 balls meet(a=9.8m/s2

Asked by Hiba Vallangara | 23rd May, 2011, 12:00: AM

Expert Answer:

They will meet instinctively. Here's how.

Lets take distance covered by the stone thrown upwards to meet the other as x. Then the other stone covers a distance of (100-x)m.

Let the ball dropped down be b1. So the ball thrown up is b2.

b1 => d = 100-x

          g = 9.8 m/s sq.

          u = 0

We know, s= ut + 1/2at sq.

Putting values,

100-x = 4.9t sq.                  ....(1)

 

b2 => d = x

          g = -9.8 m/s sq.

          u = 25 m/s 

We know, s= ut + 1/2at sq.

Putting values,

x = 25t -4.9t sq.                  ....(2)

Adding (1) and (2),

100-x +x = 4.9t sq. + 25t - 4.9t sq.

t = 4 secs.

Puuting t = 4 in (1),

100-x = 4.9t sq.

100-x =19.6

 

x = 80.4 m

So, they meet at  80.4 m from ground after 4 seconds. 

Answered by  | 23rd May, 2011, 02:01: AM

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