How Do You Calculate Rocket Acceleration and Altitude After Launch?

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To calculate the initial acceleration of a Saturn-Apollo rocket with a mass of 5.40 x 10^5 kg and a thrust of 7.40 x 10^6 N, the net force must be determined by subtracting the gravitational force from the thrust. The gravitational force (Fg) is calculated as 5.292 x 10^6 N using Fg = mg. The correct net force leads to an acceleration of 3.89 m/s². For altitude, the rocket is projected to reach approximately 233.4 meters one minute after launch. However, the calculations need to ensure that the thrust is treated as the resultant force when determining acceleration.
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Homework Statement


A Saturn-Apollo rocket has a mass of 5.40 x 105kg. What is the initial acceleration of the rocket if the thrust at lift off is 7.40 x 106 N?
How high will the rocket rise one minute after launch?

Homework Equations


Fg=mg
FNET=ma


The Attempt at a Solution


I used Fg=mg, plugging in 5.5 x 105 for m and 9.8 for g to get Fg=5.292 x 106 N.
I then used the FNET equation as so:
7.4 x 106-5.292 x 106=(5.4 x 105)(a)
And my answer was an acceleration of 3.89m/s2.
For the second question I got that the rocket would reach 233.4m one minute after launch.
Is this correct or how is this done correctly? Thanks!
 
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Your method is correct, but you did the operations wrong I believe. The thrust after lift off is the resultant force. So you need to add that to the weight and then get the acceleration.
 

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