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

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SUMMARY

The discussion centers on the relationship between velocity and acceleration in the context of an acceleration vs. time graph. It clarifies that the velocity at time t=0 does not have to be zero, despite the equation v = a*t suggesting that if acceleration (a) is 4 m/s² and time (t) is 0, then velocity (v) equals 0 m/s. The equation v = v₀ + at is emphasized, indicating that initial velocity (v₀) plays a crucial role in determining the final velocity.

PREREQUISITES
  • Understanding of kinematic equations, specifically v = v₀ + at
  • Basic knowledge of acceleration and its units (m/s²)
  • Familiarity with the concept of initial velocity (v₀)
  • Ability to interpret acceleration vs. time graphs
NEXT STEPS
  • Study the implications of initial velocity in kinematic equations
  • Explore graphical representations of motion, focusing on acceleration vs. time graphs
  • Learn about the derivation and application of the equation v = v₀ + at
  • Investigate real-world examples of motion with varying initial velocities
USEFUL FOR

Students of physics, educators teaching kinematics, and anyone interested in understanding the dynamics of motion and acceleration.

ahmed emad
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is the velocity at t=0 in acceleration vs time graph must be 0 .please answer my question
o1kYLaayNTcEgzjvadqFxo8re92eliZoCwmUE5D0QU3lraq0myEa90Yqu095kN1H06RhiNlcIN9DqxFBwwnCWMKy.png
 
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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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