Formulas & tables/Physics/Kinematics/Velocity in accelerated motion

Velocity in accelerated motion

v=v0+atv=v_0+at

Result unit: m/s

What it describes

In uniformly accelerated motion the velocity grows linearly with time.

Symbols

vv
velocity
[m/s]
v0v_0
initial velocity
[m/s]
aa
acceleration
[m/s²]
tt
time
[s]

Where it comes from

In uniformly accelerated motion the velocity grows linearly — to the initial velocity we add the increment atat.

When to use it

Motion with constant acceleration. For free fall (starting from rest) v=gtv=gt.

Example

A body has v0=5v_0=5 m/s and accelerates at 22 m/s² for 3 s. Find the final velocity.
Substitutionv0=5v_0=5, a=2a=2, t=3t=3.
Resultv=5+2⋅3=11v=5+2\cdot3=11 m/s.

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