What was his velocity when he began accelerating ?

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Homework Help Overview

The problem involves a runner who accelerates to a final velocity of 4.15 m/s due west over a time period of 1.5 seconds, with an average acceleration of 0.640 m/s² also directed west. The question posed is to determine the runner's initial velocity before the acceleration began.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of a kinematic equation to relate final velocity, initial velocity, acceleration, and time. There are attempts to clarify the components of the equation and how they relate to the problem at hand.

Discussion Status

Some participants are exploring the equation provided and seeking clarification on how to rearrange it to find the initial velocity. There is a recognition of the need to understand the relationship between initial and final velocities in the context of acceleration.

Contextual Notes

Participants note the importance of understanding the definitions of the variables in the equation and how acceleration affects velocity, indicating a focus on conceptual understanding rather than direct solutions.

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A runner accelerates to a velocity of 4.15 m/s due west in 1.5 s.His average acceleration is 0.640 m/s also directed to the west . What was his velocity when he began accelerating ?
 
Last edited by a moderator:
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You can use the equation:

[tex]V_{final} = U_{initial} + at[/tex]

Where:
V = Final Speed
U = Initial Speed
a = Acceleration (use your average acceleration)
t = Time across which the acceleration is applied

I will help you rearrange the equation if you need, but as the sticky suggests, this forum isn't here to give you homework answers, and most of the official PF helpers here will use an analogous equation to help guide you.

EDIT: Whoops got the equation a bit messed up there.
 
Last edited:
yea but how ... thanks for ur help?
 
Well acceleration speeds things up, reguardless of their initial velocity, in the equation, U is the initial velocity, and "at" is the amount the original velocity has increased by to get to the final velocity, acceleration multiplied by time equals the velocity increase, so the equation technically is

[tex]V_{final} = U_{initial} + X_{increase}[/tex]​

Where "X" is the amount the initial speed has increased by to reach the final speed.
 
Last edited:

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