A projectile is thrown with velocity u=(20 m s- 1)± 5 % at an angle 60o . If the projectile comes back on the ground at the same level then which of the following cannot be a possible answer for range. Consider g=10 ms- 2 .

Question

A projectile is thrown with velocity u=(20 m s- 1)± 5 % at an angle 60o . If the projectile comes back on the ground at the same level then which of the following cannot be a possible answer for range. Consider g=10 ms- 2 . (A) 34.6 m (B) 37.5 m (C) 32.0 m (D) 39.0 m

Tardigrade Admin · Accepted Answer

Range of projectile R=(u2 s i n 2 θ /g) for θ = 60o , R = (202 sin 120o/g) = 20 √3 = 34.64 textm for % error(Δ R/R)=(2 Δ u/u) textÎR = (2 × 5/100) × 20 √3 = 2 √3 = 3.464 textm So, range textR = 34.64 ± 3.46 textm Rmin=31.1 textm and Rmax 38.1 textm

Q. A projectile is thrown with velocity $u = (20 m s^{- 1}) \pm 5%$ at an angle $6 0^{o} .$ If the projectile comes back on the ground at the same level then which of the following cannot be a possible answer for range.
Consider $g = 10 m s^{- 2}$ .

$34.6 m$

$37.5 m$

$32.0 m$

$39.0 m$

Q. A projectile is thrown with velocity u=(20ms−1)±5% at an angle 60o. If the projectile comes back on the ground at the same level then which of the following cannot be a possible answer for range. Consider g=10ms−2 .

34.6m

37.5m

32.0m

39.0m

RangeofprojectileR=gu2sin2θ​ for θ=60o,R=g202sin120o​=203​=34.64m for%errorRΔR​=u2Δu​ ΔR=1002×5​×203​=23​=3.464m So, range R=34.64±3.46m Rmin​=31.1m and Rmax​38.1m

Q. A projectile is thrown with velocity $u = (20 m s^{- 1}) \pm 5%$ at an angle $6 0^{o} .$ If the projectile comes back on the ground at the same level then which of the following cannot be a possible answer for range.
Consider $g = 10 m s^{- 2}$ .

$34.6 m$

$37.5 m$

$32.0 m$

$39.0 m$