A projectile is thrown with velocity u = 20 m / s ± 5 % at an angle 60 o . If the projectile comes back on the ground at the same level then which of following cannot be a possible answer for range. Consider g = 10 m/s 2

Question

A projectile is thrown with velocity u = 20 m / s ± 5 % at an angle 60 o . If the projectile comes back on the ground at the same level then which of following cannot be a possible answer for range. Consider g = 10 m/s 2, 34.6 m, 37.5 m, 32.0 m, 39.0 m

MARKS App · Accepted Answer

R a n g e o f p r o j e c t i l e R = u 2 s i n 2 θ g for θ = 60 o , R = 20 2 sin 120 o g = 20 3 = 34.64 m f o r % e r r o r ∆ R R = 2 ∆ u u ΔR = 2 × 5 100 × 20 3 = 2 3 = 3.464 m So, range R = 34.64 ± 3.46 m R min = 31.1 m and R max 38.1 m

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