Crossing Point Distance Calculation

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To find the crossing point of two stones thrown from a cliff, one upward and the other downward, both at 7 m/s, the height of the cliff is 4 m. The key equations to use are y up = v1t + 1/2at^2 for the upward stone and y down = v1t + 1/2at^2 for the downward stone. The stones will cross when they have traveled for the same time and have equal displacements from the ground. It is suggested to set the displacements equal to each other, leading to the equation s = y up = (4 - y down). The discussion emphasizes the importance of using the correct equations and understanding the relationship between time and displacement in this scenario.
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Homework Statement


Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The stones are thrown with the same speed.
The height of the cliff is 4 m and the speed with which the stones are thrown is 7 m/s.

find the distance of the crossing point above the ground.

Homework Equations



gotta use these using the equations y up = v1t + 1/2at^2, and y down = v1t + 1/2at^2

The Attempt at a Solution


well so far i went v= x / t and found t = x / v, which was 0.6 s i plugged it in both equations, but i don't know what to do next add the displacements or what ?
 
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zn23 said:

Homework Statement


Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The stones are thrown with the same speed.
The height of the cliff is 4 m and the speed with which the stones are thrown is 7 m/s.

find the distance of the crossing point above the ground.


Homework Equations



gotta use these using the equations y up = v1t + 1/2at^2, and y down = v1t + 1/2at^2


The Attempt at a Solution


well so far i went v= x / t and found t = x / v, which was 0.6 s i plugged it in both equations, but i don't know what to do next add the displacements or what ?


The equation v = x/t is for constant velocities only, ie a = 0. So using it in this question is not going to help. You are looking for the point where the stones cross - at this point they will have the same displacement from the ground and will have traveled for the same length of time.

Use this information in your two relevant equations to find s = y up = (4 - y down) where s is the displacement from the ground at time t.
 
what wud u suggest another way to find time wud be ?
 
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