Is Velocity Equal to a*t in an Acceleration vs Time Graph?

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Discussion Overview

The discussion centers on the relationship between velocity and acceleration in the context of an acceleration vs time graph, specifically questioning whether the velocity at time t=0 must be zero.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions if the velocity at t=0 in an acceleration vs time graph must be zero.
  • Another participant responds that it is not necessarily the case that velocity is zero at t=0.
  • A third participant reiterates that velocity can be expressed as v = a*t, suggesting that if acceleration is 4 m/s² at t=0, then velocity would be 0 m/s.
  • A fourth participant repeats the assertion that velocity equals a*t, using the formula v = v₀ + at to support their point.

Areas of Agreement / Disagreement

Participants express differing views on whether the velocity at t=0 must be zero, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

There is a lack of consensus on the initial conditions of the problem, particularly regarding the value of initial velocity (v₀) and how it interacts with acceleration over time.

ahmed emad
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is the velocity at t=0 in acceleration vs time graph must be 0 .please answer my question
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Not necessarily.
 
Chestermiller said:
Not necessarily.
but why the velocity = a*t so v=4*0=o m/s
 
ahmed emad said:
but why the velocity = a*t so v=4*0=o m/s
$$v=v_0+at$$
 

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