The time that the bullet takes to strike the target:

$\overline{){{t}}_{{b}}{=}\frac{distance}{speed}}$

The speed of sound in air:

$\overline{){{\mathbf{v}}}_{{\mathbf{s}}}{\mathbf{=}}{\mathbf{(}}{\mathbf{331}}{\mathbf{.}}{\mathbf{4}}{\mathbf{+}}{\mathbf{0}}{\mathbf{.}}{\mathbf{6}}{{\mathbf{T}}}_{{\mathbf{c}}}{\mathbf{)}}{\mathbf{m}}{\mathbf{/}}{\mathbf{s}}}$, where T_{C} is the temperature of the air.

Time elapsed is:

$\overline{){{\mathbf{t}}}_{\mathbf{e}\mathbf{l}\mathbf{a}\mathbf{p}\mathbf{s}\mathbf{e}\mathbf{d}}{\mathbf{=}}{{\mathbf{t}}}_{{\mathbf{s}}}{\mathbf{-}}{{\mathbf{t}}}_{{\mathbf{b}}}}$, where t_{s} is the time taken by sound.

A bullet shot from a rifle travels at 1000 m/s. What is the elapsed time between when the bullet strikes a target 500 m away, and when the sound of the gunshot reaches the target? Assume air temperature is 20 °C.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Consequences of Relativity concept. You can view video lessons to learn Consequences of Relativity. Or if you need more Consequences of Relativity practice, you can also practice Consequences of Relativity practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Grasso's class at PBCC.