Solving a Ball & Stone Thrown Vertically Upwards Problem

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SUMMARY

The problem involves calculating the height at which a ball and a stone, thrown vertically upwards with initial speeds of 16 m/s and 21.3 m/s respectively, will meet. The ball is thrown first, followed by the stone 1.1 seconds later, with gravity acting at 9.8 m/s². The correct approach involves setting the height equations equal and solving for time, leading to the conclusion that the ball and stone pass each other at approximately 23.43 meters above the release point. The initial calculations were incorrect due to a miscalculation of time.

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Hi..I have a question I guess you guys help me out ...here is the question.

1.A ball is thrown verticaly upward with an initial speed of 16m/s.then 1.1s later a stone is thrown straight up(from the same inital height of the ball ) with inital speed of 21.3m/s.
the acceleration of gravity is 9.8m/s^2.

how far above the realease point will the ball and the stone pass each other?answer in meter.

Here is what i did.
Y(ball) = Y(stone)

V(inital)t + 1/2 9.8t^2 = V(inital)(t -1.1)+ 1/2 9.8t^2

so 1/2 9.8t^2 will cancel out

which left
16m/s t = 21.3t - 23.43

t = 4.4207 second

after that i use the same formula to find distance which is distance of the ball is 166.4898 and distance of stone is 189.9195

finaly i subtacted stone - ball = 23.4297 meter.

but still my answer is incorrect but i don't know where is my mistake ...so i just need little help

thank you
 
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kmikias said:
Hi..I have a question I guess you guys help me out ...here is the question.

1.A ball is thrown verticaly upward with an initial speed of 16m/s.then 1.1s later a stone is thrown straight up(from the same inital height of the ball ) with inital speed of 21.3m/s.
the acceleration of gravity is 9.8m/s^2.

how far above the realease point will the ball and the stone pass each other?answer in meter.

Here is what i did.
Y(ball) = Y(stone)

V(inital)t + 1/2 9.8t^2 = V(inital)(t -1.1)+ 1/2 9.8t^2

Careful with the highlighted time.
 
thank you Kurdt that where i did a mistake.
 

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