Q47 / 126 · NTA Abhyas (NEET) 2020 · Physics · Motion In Two Dimensions

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

  • A
    34.6 m
  • B
    37.5 m
  • C
    32.0 m
  • Correct answer
    D
    39.0 m

Solution

Range of projectile R=u2sin2θg
for  θ= 60 o , R= 20 2 sin 120 o g =20 3 =34.64 m
for % error∆RR=2∆uu
ΔR= 2×5 100  × 20 3 =2 3 = 3.464 m
So, range R=34.64±3.46 m
Rmin=31.1 m and R max  38.1 m

Hence, the correct answer is option: 'D'.

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