How Long to Accelerate for Desired Time?

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Homework Help Overview

The problem involves a runner attempting to complete a 10,000 m run in under 30 minutes. After running for 27 minutes, the runner has 1100 m remaining and must accelerate to meet the time goal. The discussion centers around calculating the time required for acceleration given a specific acceleration rate.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the initial conditions, including the remaining distance and time, and the initial velocity of the runner. There are attempts to apply kinematic equations to find the time of acceleration and the final velocity after acceleration. Questions arise regarding the interpretation of the problem and the correct application of equations.

Discussion Status

Participants are exploring various interpretations of the problem and attempting to derive relationships between the variables involved. Some guidance has been provided regarding the use of kinematic equations, but there is no explicit consensus on the approach to take or the final solution.

Contextual Notes

Participants note the constraints of the problem, including the total time available for the remaining distance and the specific acceleration value given. There is an acknowledgment of the complexity of the equations involved and the need to clarify variable definitions.

  • #61
I don't know how to get this mess into standard form...

-2^-1 t3^2 - 180 s (t3) + t3^2 = a^-1 (Vo (180 s) - 1100 m + Xo)
 
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  • #62
I have to get it into

y = ax^2 + bx + c

don't know how
 
  • #63
rewrote for zero don't know what to do

-2^-1 t3^2 - 180 s (t3) + t3^2 = a^-1 (Vo (180 s) - 1100 m + Xo)
(Vo (180 s) - 1100 m + Xo)^-1 a(-2^-1 t3^2 - 180 s (t3) + t3^2) = 0

:O
 

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