Hello, my problem is the next one:

Question

There are three objects that are launched at the Same time But with different angles( they describe proyectile motion ) . All the objects got the Same maximun height. My question is: Is the Initial velocity the Same for the three objects? Why or Why not?
Please help

Answer 1

Y^2 = Yo^2 + 2g*h.
Yo = sqrt(Y^2-2g*h).
So if each object has the same value of Y and h, their initial Y component of velocity would be equal.

We have 3 variables:
1. Y = 0 = Vertical component of final velocity.

2. Yo = Vertical component of initial velocity.

3.The max height(h).