How do i find the the distances above ground?

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To find the distances above ground where the hot air balloon and the pellet have the same altitude, one must analyze their respective motions. The balloon ascends at a constant speed of 7 m/s starting from 12 m above the ground. The pellet is fired upwards with an initial speed of 30 m/s from ground level. Setting the equations of motion for both the balloon and the pellet equal to each other will reveal the points of intersection. This problem requires applying kinematic equations to determine the altitudes at which both objects are at the same height.
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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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