Archery Competition#

Abbas is reading a novel that describes an athelete participating in an archery competition. The athlete fires an arrow horizontally at a height of \({{ params.h }}\) \(\rm{cm}\) above the ground and it lands \({{ params.d }}\) \(\rm{m}\) away from them.

Part 1#

Neglecting air resistance, lift, and drag, what is the initial speed the arrow must have been fired at to land \({{ params.d }}\) \(\rm{m}\) away?

Answer Section#

Please enter in a numeric value in \(\rm{m/s}\).

Part 2#

If the arrow was instead fired at an angle \({{ params.theta }}^\circ\) to the horizontal (instead of horizontally), how far would it have gone if it was launched at a speed of \({{ params.v }}\) \(\rm{m/s}\).

Answer Section#

Please enter in a numeric value in \(\rm{m}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.