Impulse is integral of force over time

Impulse due to force exerted on a body during collision is the measure of both the magnitude and duration of the collision. Impulse can also be represented by a vector by applying this law to the components of the force vector.

Links:

1. Wikipedia, last formula in paragraph.

impulse

Projection of impulse vector due to force \(\vec F\).

Symbol:

J

Latex:

\(J\)

Dimension:

momentum

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

force

Projection of force \(\vec F\) as a function of time.

Symbol:

F(t)

Latex:

\(F{\left(t \right)}\)

Dimension:

force

time_before

Initial time of collision.

Symbol:

t_0

Latex:

\(t_{0}\)

Dimension:

time

time_after

Final time of collision.

Symbol:

t_1

Latex:

\(t_{1}\)

Dimension:

time

law

J = Integral(F(t), (t, t_0, t_1))

Latex:

\[J = \int\limits_{t_{0}}^{t_{1}} F{\left(t \right)}\, dt\]