When a body is thrown with a velocity $u$ making an angle $\theta$ with the horizontal plane,the maximum distance covered by it in the horizontal direction is:

  • A
    $\frac{u^2 \sin \theta}{g}$
  • B
    $\frac{u^2 \sin 2\theta}{2g}$
  • C
    $\frac{u^2 \sin 2\theta}{g}$
  • D
    $\frac{u^2 \cos 2\theta}{g}$

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$A$ particle is projected horizontally from a tower with velocity $10\,m/s$. Taking $g=10\,m/s^2$,match the following two columns at time $t=1\,s$.
Column $I$Column $II$
$(A)$ Horizontal component of velocity$(p)$ $5$ $SI$ unit
$(B)$ Vertical component of velocity$(q)$ $10$ $SI$ unit
$(C)$ Horizontal displacement$(r)$ $15$ $SI$ unit
$(D)$ Vertical displacement$(s)$ $20$ $SI$ unit

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