Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Discover in-depth and trustworthy answers to all your questions from our experienced community members.

A crossbow will come partially sighted in, This takes into account that the arrow fall asit moves towards its target. If l were to shoot he bow horzontalify it would hit well below inhertarget. Given that I practice from 30.0 meters away from the target and the crossbow launches the arrows at a total velocity of 110.0 m/s. If the shot Was setup to launch exactly horizontally and the bow was pointed at the bullseye. How far below the bullseye will the arrow hit?

A Crossbow Will Come Partially Sighted In This Takes Into Account That The Arrow Fall Asit Moves Towards Its Target If L Were To Shoot He Bow Horzontalify It Wo class=

Sagot :

Given,

The range of the flight of the arrow, R=30.0 m

The initial launch velocity of the arrow, u=110.0 m

It is given that the arrow is launched horizontally, thus the vertical component of the launch velocity of the arrow is 0 m/s.

The range of the flight of the arrow is given by,

[tex]R=\frac{u}{t}[/tex]

Where t is the time of flight of the arrow.

On substituting the known values,

[tex]\begin{gathered} 30.0=\frac{110.0}{t} \\ \Rightarrow t=\frac{110.0}{30.0} \\ =3.67\text{ s} \end{gathered}[/tex]

From the equation of motion, the drop in the height of the arrow during its entire is given by,

[tex]h=u_yt+\frac{1}{2}gt^2[/tex]

Where g is the acceleration due to gravity and u_y is the vertical component of the initial velocity of the arrow.

On substituting the known values,

[tex]\begin{gathered} h=0+\frac{1}{2}\times9.8\times3.67^2 \\ =66\text{ m} \end{gathered}[/tex]

Thus the arrow will hit 66 m below the bullseye.

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.