Q126 / 160 · TS EAMCET 2022 (18 Jul Shift 1) · Physics

A projectile is launched with an initial speed of 40 m s-1 at an angle 30° above the ground. The projectile lands on a hillside 2.0 s later. The net displacement from where the projectile was launched to where it hits the target is (Take g=10 m s-2)

  • A
    203 m
  • B
    302 m
  • C
    40 m
  • Correct answer
    D
    2013 m

Solution

Figure

Horizontal displacement covered, 

x=40cos30°×2=403 m

Vertical displacement covered, 

y=40sin30°×2+12-10×22=40-20=20 m

Hence, required displacement will be, 

x2+y2=2013 m

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

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