The trajectory of a particle in projectile motion is given by $y = x - \frac{x^2}{80}$. Here, $x$ and $y$ are in meters. For this projectile motion, match the following with $g = 10 \, m/s^2$.
$Column-I$$Column-II$
$(A)$ Angle of projection$(p)$ $20 \, m$
$(B)$ Angle of velocity with horizontal after $4 \, s$$(q)$ $80 \, m$
$(C)$ Maximum height$(r)$ $45^{\circ}$
$(D)$ Horizontal range$(s)$ $\tan^{-1}(1/2)$

  • A
    $(A \rightarrow r, B \rightarrow s, C \rightarrow p, D \rightarrow q)$
  • B
    $(A \rightarrow r, B \rightarrow r, C \rightarrow p, D \rightarrow q)$
  • C
    $(A \rightarrow q, B \rightarrow r, C \rightarrow p, D \rightarrow s)$
  • D
    $(A \rightarrow s, B \rightarrow r, C \rightarrow p, D \rightarrow q)$

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