Archery Competition#

Mateo is reading a novel that describes an athelete participating in an archery competition. The athlete is 202cm tall and hits an amazing shot where they fire an arrow completely horizontally, and it lands 88 m away from them.

The arrow is found embedded in the ground, at an angle of 9 degrees to the horizontal.

Part 1#

Neglecting air resistance and drag, what is the initial speed the arrow must have been fired at (to land 88 m away)?

Answer Section#

Please enter in a numeric value in m/s.

Part 2#

If the arrow was instead fired at a 45 degree angle (instead of being shot horizontally), how far would it have gone if it was launched at a speed of 271 m/s.

Answer Section#

Please enter in a numeric value in m/s.

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.