Problem Solving: Is My Solution Right?

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The discussion revolves around solving a problem involving two objects thrown vertically at different times and velocities. The first object is thrown upward at 30 m/s, and the second at 40 m/s, four seconds later. The main query is about finding the time when both objects meet and the height at which they meet. The proposed solution involves using the maximum height formula but raises concerns about the assumption that both objects will reach the same height. Clarification is sought on the correct approach to determine the meeting point of the two objects.
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do tell me if the way i did this problem is right!

q::An object is thrown vertically upward with a velocity of 30m/s.Four seconds later
a second object is projected vertically with a velocity of 40 m/s .determine i)time(after first object is thrown)when two objects will meet each other in air ii) height from Earth when two objects meet

my probable solution:consider first object time as t and second object time as t+4,
solve for t by equating their maximum height formula(s=ut+0.5gt^2) ?
 
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But what makes you think the two objects will reach the same maximum height?
 
why do you think max.height is not the same,as you throw the first object at time t
and second ,time difference is t+4,or maybe iam wrong... please give me a solution then..
 
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