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SilentHamster
SilentHamster SilentHamster
  • 22-01-2017
  • Physics
Answered

An archer wishes to shoot an arrow at a target at eye level a distance of 50.0m away. If the initial speed imparted to the arrow is 70.0m/s, what angle should the arrow make with the horizontal as it is being shot?

Physics

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 31-01-2017

Given:
Hmax (distance) = 50.0m
v
₀ = 70.0m/s

Required:
what angle should the arrow make with the horizontal as it is being shot

Solution:
Hmax = v
₀²sin²θ / 2g
sin²θ = 2gHmax / v₀²
sin²θ = 2 (9.81 m/s²) (50m) / (70 m/s)²
sin²θ = 0.200
θ = 26.56°

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