Answer:
51.92 m
Step-by-step explanation:
Given
- angle at which it is launched (α) = 30°
- initial velocity (v₀) = 31.9 m/s
Formula
- Range (R) =
![(v_(0)^(2) sin2\alpha )/(g)](https://img.qammunity.org/2023/formulas/physics/high-school/fwgvyth434wt0yrxih5ei6gx0x519wpaiw.png)
Solving for R
- R = (31.9)² x sin2(30°) / 9.8
- R = 1017.61 x sin60° / 9.8
- R = 1017.61 / 19.6 [sin 60° = 1/2]
- R = 51.92 m