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The trajectory of a projectile near the surface of the earth is given as y=2x-9x^2. If it were launched at an angle θ _0 with speed v_0 then (g=10 m…

JEE Main 2019 — Physics Mechanics

2019mcqhard

The trajectory of a projectile near the surface of the earth is given as y=2x−9x2.y=2x-9{x}^{2}.y=2x−9x2. If it were launched at an angle θ0{\theta }_{0}θ0​ with speed v0{v}_{0}v0​ then (g=10ms−2):(g=10 {m s}^{-2}):(g=10ms−2):

Official previous-year question

Held on 12 Apr 2019 · Verified 6 Jul 2026.

Options

  1. A

    θ0=cos−1(15){\theta }_{0}={\mathrm{cos}}^{-1}(\frac{1}{\sqrt{5}})θ0​=cos−1(5​1​) and v0=53ms−1{v}_{0}=\frac{5}{3} m{s}^{-1}v0​=35​ms−1

  2. B

    θ0=cos−1(25){\theta }_{0}={\mathrm{cos}}^{-1}(\frac{2}{\sqrt{5}})θ0​=cos−1(5​2​) and v0=35ms−1{v}_{0}=\frac{3}{5} m{s}^{-1}v0​=53​ms−1

  3. C

    θ0=sin−1(15){\theta }_{0}={\mathrm{sin}}^{-1}(\frac{1}{\sqrt{5}})θ0​=sin−1(5​1​) and v0=53ms−1{v}_{0}=\frac{5}{3} m{s}^{-1}v0​=35​ms−1

  4. D

    θ0=sin−1(25){\theta }_{0}={\mathrm{sin}}^{-1}(\frac{2}{\sqrt{5}})θ0​=sin−1(5​2​) and v0=35ms−1{v}_{0}=\frac{3}{5} m{s}^{-1}v0​=53​ms−1

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