Archery Competition

Mateo 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.