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**Hello loves, I know there are post very very similar to this, but I just needed some help understanding it. any help is truly appreciated.**

1. Homework Statement

1. Homework Statement

A model rocket is launched straight upward with an initial speed of 50 m/s. It accelerates with a constant upward acceleration of 30 m/s2 until its engines stop at an altitude of 150 m. How long is the rocket in the air?

Vi= 50m/s

Vf= ??

a= 30 m/s^2

Change in y= 150

## Homework Equations

## The Attempt at a Solution

Alright so, I think to solve this problem, its a 2 step thing, this is caused because of the 2 accelerations, one from the rocket's fuel, and then once it empties, the second one from Earth's gravitational acceleration. I know I have 3 givens so I can find the other 2 variables. Alright this has led me to choosing the fourth and first equation. Although I am not sure if i can replace the delta x with delta Y, because the rocket would be going up into the air vertically, so it would be y instead of x right? this is where i am stuck, i don't really know what to do once i get to this point.

a preemptive thank you guys for the help