If you can't be bothered to show us your work, we can't be bothered to help you.

[jontyjashan]

A rocket is launched to travel vertically upward with a constant velocity of say...20 m/s.After
travelling maybe 35 s the rocket develops snag and its fuel supply is cut off. the rocket then travels like a free body, the height achieved by the rocket will be

THIS IS NOT A HOMEWORK QUESTION!
i have made it on my own

 

[Dadface]

Can you think of any equations that you can use?

 

[berkeman]

A rocket is launched to travel vertically upward with a constant velocity of say...20 m/s.After
travelling maybe 35 s the rocket develops snag and its fuel supply is cut off. the rocket then travels like a free body, the height achieved by the rocket will be

THIS IS NOT A HOMEWORK QUESTION!
i have made it on my own

It doesn't matter if you made it up. It still must be placed in the Homework Help forums, where I have moved your thread.

And you are required to show us the relevant equations, and your attempt at a solution. Show us the kinematic equations of motion that apply to your problem (you can look them up on wikipedia.org if you are not sure).