Kinematics of rocket - calculate total hang time

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SUMMARY

The discussion focuses on calculating the initial velocity of a rocket at liftoff based on its total hang time of 7 seconds. The maximum height is reached at 3.5 seconds, leading to the application of kinematic equations. The relevant equations include Vf = Vi + a*t and Vf squared = Vi squared + 2*a*d. The calculated initial velocity (v_i) is determined to be 34.3 m/s using the acceleration due to gravity (a = -9.8 m/s²).

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physicsphreak123
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For a class expierement we went outside and watched an air rocket launch into the air, and measured the total hang time.

Only knowing the time, find the velcotiy at liftoff.

the time is 7 seconds, and i understand that at the maximun height the time is 3.5 seconds. I don't know which equation to use because i am not familar with knowing only one variable.

we have 4 equations to choos from.
D = v*t
Vf = Vi + a*t
D = Vi*t + 1/2 a * t
Vf squared = Vi squared +2*a*d

Can you help me ?
 
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v_ = v_i - a t

0 = v_i - 9.8 * 3.5

v_i = 34.3 m/s
 

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