How do i find the the distances above ground?

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SUMMARY

The problem involves a hot air balloon ascending at a constant speed of 7 m/s from an initial height of 12 m and a pellet fired vertically upward from ground level with an initial speed of 30 m/s. To find the points where both the balloon and the pellet reach the same altitude simultaneously, one must set the equations of motion for both objects equal to each other. The relevant equations include the kinematic equations for uniformly accelerated motion, which will allow for the determination of the two heights where the altitudes match.

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Homework Statement


A hot air balloon is ascending straight up at a constant speed of 7 m/s. When the balloon is 12 m above the ground, a gun fires a pellet straight up from ground level with an initial speed of 30 m/s. Along the paths of the balloon and the pellet there are two places where each of them has the same altitude at the same time. How far above ground level are these places?

Homework Equations

The Attempt at a Solution


dont really know how to solve this and have a test tomorrow so any help is greatly appreciated, thanks
 
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Hi lane99, Welcome to Physics Forums.

What have you tried so far? You need to show some effort before others can help you, that's in the forum rules. At the very least you can write down a list of equations that you think might be relevant for this kind of problem.
 

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