# Determine the initial speed of a falcon falling vertically on its prey if its speed at the moment

**Determine the initial speed of a falcon falling vertically on its prey if its speed at the moment of falling is 50 m / s, and the fall time is 4.8 s.**

V = 50 m / s.

g = 9.8 m / s ^ 2.

t = 4.8 s.

V0 -?

The falcon falls only under the influence of gravity, which means that it moves with the acceleration of gravity g.

According to the definition, the body’s acceleration g shows how quickly the body’s speed changes, and is determined by the formula: g = (V – V0) / t, where V, V0 are the final and initial speed of movement, t is the time during which the speed changes.

From the formula we express the initial speed of the fall: g * t = V – V0.

V0 = V – g * t.

V0 = 50 m / s – 9.8 m / s ^ 2 * 4.8 s = 2.96 m / s.

Answer: the initial speed of the falcon is V0 = 2.96 m / s.