Calculating Rocket Acceleration for a 200 m/s Speed at 1.0km Height

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Homework Help Overview

The discussion revolves around calculating the required acceleration for a rocket to achieve a speed of 200 m/s at a height of 1.0 km. The subject area includes concepts from physics, particularly kinematics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between acceleration, velocity, and distance, with one suggesting a specific kinematic formula. Questions arise regarding the variables involved and the necessity of calculus in solving the problem.

Discussion Status

Some participants have provided guidance on relevant formulas and clarified the definitions of the variables involved. There is an ongoing exploration of the problem, with no explicit consensus reached on the approach to take.

Contextual Notes

Participants note the conversion of units from kilometers to meters and express uncertainty about the need for calculus in this context. There is a mention of potential confusion regarding the nature of the problem being physics rather than calculus.

ludi_srbin
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What acceleration does a rocket need to reach speed of 200 m/s at height of 1.0km. I know that acceleration is velocity over time but I have only velocity and distance. :confused:
 
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So how about the formula:
[tex]v_f ^ 2 = v_i ^ 2 + 2ad[/tex]? Do you know this formula?
Can you go from there? Remember to change 1.0 km into 1000m.
Viet Dao,
 
That is calculus. Would you mind telling me those variables.
 
a : acceleration (m / s ^ 2) = ?.
d : displacement (m) = 1000 m.
v_i : initial velocity (m / s) = 0 m / s (The object accelerates from rest).
v_f : final velocity (m / s) = 200 m / s.
Can you go from here?
By the way, I think it is physics, not calculus...
Viet Dao,
 
O thanks. I tried to look it up in some later chapters but found formulas involving derivations. I didn't know what those variables were so I guessed that you have to use calculus to find way to do it. Thanks for help. :smile:
 

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