5 key motion with uniform acceleration equations
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The table shows 5 equations of accelerated motion helping to solve any kinematics equation by correctly choosing which.
Equation 1
Equation 1
Used to find an object's displacement in acceleration.
Used if we don't know acceleration
It's like the equation to define the average velocity:
→ →
Δd = vavΔt, which can be related to the initial and final
velocities by equation:
Equation 1 helps to solve many motion problem, but if the initial and final velocity, and the time interval of a given secnario isn't known, the defining equation for acceleration in a 2-step process can be used.
then subtituting Vav with this gives: → →
Δd = vavΔt directly
Equation 2
Equation 2
Used for problems not involving displacements.
Equation 3
Equation 3
Determining displacement using acceleration, but we only the initial velocity and not the final velocity.
→
Used if we don't know vf
Equation 4
Equation 4
Determining the final velocity with final displacement data.
Used if we don't know Δt
Equation 5
Equation 5
Determining the displacement without the initial velocity.
If the defining equation for acceleration:
Which can be used in problems that don't directly have displacement.
If vi + aavΔt is substituted from Equation 2 into Equation 1, we get Equation 3:
Equation 3 helps determine a moving object's displacement with uniform acceleration given a value for acceleration rather than final velocity.
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