Mechanics

Kinematic Equation 1

v=v0+atv = v_0 + at

Relates final velocity to initial velocity, acceleration, and time.

Variables

v
Final velocity
Velocity at time t
m/s
v₀
Initial velocity
Velocity at t=0
m/s
a
Acceleration
Constant acceleration
m/s²
t
Time
Elapsed time
s

Derivation

From a = (v - v₀)/t, solving for v gives v = v₀ + at.

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Common questions

What is the Kinematic Equation 1 formula?

Kinematic Equation 1 is written v = v₀ + at. Relates final velocity to initial velocity, acceleration, and time. It belongs to Mechanics, under Kinematics.

What are the units in v = v₀ + at?

In SI units, v is final velocity, measured in m/s; v₀ is initial velocity, measured in m/s; a is acceleration, measured in m/s²; t is time, measured in s.

How is the Kinematic Equation 1 formula derived?

From a = (v - v₀)/t, solving for v gives v = v₀ + at. The result is v = v₀ + at.