Max Height & Initial Speed Calculation | Bottle Rocket Lab Help

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SUMMARY

The discussion focuses on calculating the maximum height and initial speed of a bottle rocket based on a total flight time of 6.52 seconds. The relevant equations include the kinematic equation for height, d = 1/2gt², and the formula for acceleration, a = change in velocity/time. The calculated maximum height is 52.1 meters, derived from substituting the gravitational acceleration (9.80 m/s²) and half the flight time (3.26 seconds). The initial speed is calculated as 31.9 m/s, although there is uncertainty regarding the application of significant figures in both calculations.

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Homework Statement


Calculate the maximum height and the initial speed of the rocket. Show The equaltions and then show your substitutions. The total flight time was 6.52 seconds. the height time will be expressed in meters and feet and the velocity will be expressed at m/s, feet/second, miles/hour, km/hour.


Homework Equations


d=1/2gt^2 - only when initial velocity is 0 and object is at free fall. So i would have to use
a=change in velocity/time
a=gravity
g = -v -(+v)/t ====> v = gt/-2

The Attempt at a Solution



d= h = 1/2(9.80m/s^2)(3.26s^2) = 52.1m - 3 sig figs when multiplying correct?

v= (-9.80m/s^2)(6.52s)/-2

v= 31.9m/s => again not sure on the significant figs part.

please tell me if i am doing this correctly. thank you very much
 
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