Calculate the magnitude of particle acceleration

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Homework Help Overview

The problem involves calculating the magnitude of acceleration for a particle whose position is defined by a vector function. The context is rooted in vector calculus and kinematics.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to find the acceleration by calculating the second derivative of the position vector. Some participants question the vector nature of the acceleration and suggest clarifying the components involved.

Discussion Status

The discussion includes attempts to clarify the correct form of the acceleration vector. One participant indicates they have resolved their confusion after receiving a hint, suggesting some productive guidance has been provided.

Contextual Notes

There appears to be a discrepancy between the original poster's calculated result and the expected answer, indicating potential misunderstandings in the application of vector calculus or differentiation.

inflames829
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Homework Statement



A particles position is given by r=42t^2i + 41t^3j + 6k. Calculate the magnitude of its acceleration at time t = 15 seconds

Homework Equations





The Attempt at a Solution



to find the acceleration i found the second derivative which i had as 246t + 84. Then i put 15 in as t and got 3774, but according to the answers i should get 3691. What did i do wrong
 
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You are dealing with vectors. The acceleration is 246tj + 84i, not just 246t + 84.
 
but do i still have to find the second derivative using this? Can you give me a hint on how to do this?
 
ive worked this one out. Thanks for the hint
 

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