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Verified answer
Cos a = y / r = 3/5sin a = x / r
x = √(r² - y²) = √(5² - 3²) = 4
sin a = 4/5
sin 2a = 2 sin a cos a
= 2(4/5)(3/5) = 24/25
R = (v₀² sin 2a) / g
= [(100 m/s)² (24/25)] / (10 m/s²)
= [(10000 m²/s²)(24/25)] / (10 m/s²)
= 960 m