Free Fall question

Question

A bullet is fired straight up from a gun with a muzzle velocity of 185 m/s.

Neglecting air resistance, what will be its displacement after 3.5 s? The acceleration of gravity is 9.8 m/s2 .

Answer in units of m.

Answer 1

The answer here is straightforward from the time dependence of displacement of an uniformly accelerated motion. Δh=v₀t+at²/2 (1)

Let's choose the upward direction as positive. Then substitute in (1)

v₀=185m/s; a=-g=-9.8m/s²; t=3.5s (2)

to get

Δh=590m (from 587m when you retain 2 significant figures)