Which one of the following statements is not | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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.

Vedclass · Answer

(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.

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

Similar Questions

$A$ cricketer can throw a ball to a maximum horizontal distance of $100 \, m$. With the same effort,he throws the ball vertically upwards. The maximum height attained by the ball is ......... $m$.

For a given velocity,a projectile has the same range $R$ for two angles of projection. If $t_1$ and $t_2$ are the times of flight in the two cases,then:

$A$ stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following:

Galileo,in his book $Two \text{ } new \text{ } sciences$,stated that "for elevations which exceed or fall short of $45^{\circ}$ by equal amounts,the ranges are equal". Prove this statement.

Vedclass Test Series

Exam Paper Generator

Online Exam Module