72 m is the horizontal distance the travels.
Option: C
Explanation:
The units to express the horizontal and vertical distances are meters (m). The "horizontal" and "vertical" velocities are expressed in "meters per second" (m/s).
Horizontal distance = (initial horizontal velocity)(time)
We can now get the range x from the horizontal component of velocity
[tex]x=v_{x o} \times t[/tex] equation (1)
[tex]\mathrm{v}_{\mathrm{xo}}=\text { initial horizontal velocity }(\mathrm{m} / \mathrm{s})[/tex]
x = horizontal distance (m)
t = time (s)
[tex]\mathrm{v}_{\mathrm{x} \mathrm{o}}=\mathrm{v} \cos \theta[/tex]
We know that, V = 37 m/s, θ = 12 degree and t = 2 seconds.
To find, [tex]\mathrm{v}_{\mathrm{x} \mathrm{o}}=\mathrm{v} \cos \theta[/tex]
[tex]\mathrm{V}_{\mathrm{x} \mathrm{o}}=37 \times \cos 12[/tex]
[tex]\mathrm{V}_{\mathrm{x} \mathrm{o}}=37 \times 0.974[/tex]
[tex]\mathrm{V}_{\mathrm{x} \mathrm{o}}=36.038[/tex]
[tex]\mathrm{Now}, \mathrm{x}=\mathrm{v}_{\mathrm{xot}}[/tex]
[tex]x=36.038 \times 2[/tex]
x = 72.076 m ~ 72 m
x = 72 m
The horizontal distance is 72 m.
