Which one of the following statements is not | vedclass

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(B) The horizontal range $R$ of a projectile is given by the formula $R = \frac{u^2 \sin 2	heta}{g}$.From this expression,it is clear that $R \propto

Vedclass · Accepted Answer

The horizontal range of a projectile is proportional to the square root of the speed with which it is projected.

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(B) The horizontal range $R$ of a projectile is given by the formula $R = \frac{u^2 \sin 2	heta}{g}$.From this expression,it is clear that $R \propto u^2$,meaning the range is proportional to the square of the speed of projection,not the square root.Therefore,statement $(B)$ is incorrect.Statement $(A)$ is true because time of flight $T = \frac{2u \sin 	heta}{g}$,so $T \propto u$.Statement $(C)$ is true because $\sin 2	heta$ is maximum at $2	heta = 90^{\circ}$,so $	heta = 45^{\circ}$.Statement $(D)$ is true because at maximum height,velocity is purely horizontal,while acceleration due to gravity is purely vertical,making them perpendicular.

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

Which one of the following statements is not true about the motion of a projectile?

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