Formulas & tables/Physics/Kinematics/Range of horizontal projectile motion

Range of horizontal projectile motion

x=v_0 t

Result unit: m (metre)

What it describes

The horizontal range of a projectile is the product of the initial velocity and the fall time.

x

horizontal range

[m]

v_0

initial velocity

[m/s]

t

fall time

[s]

No forces act horizontally, so the motion in that direction is uniform — the range equals the initial velocity times the fall time.

Horizontal projectile motion; take the time

t

from the fall-time formula.

A body is thrown horizontally at

v_0=15

m/s and falls for 2 s. Find the range.

Substitution

v_0=15

m/s,

t=2

Result

x=15\cdot2=30

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