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(D) Given: Initial horizontal velocity $u = 4\, m/s$,time of flight $t = 0.4\, s$,acceleration due to gravity $g = 10\, m/s^2$.$1$. Horizontal distanc

Vedclass · Accepted Answer

Both $(a)$ and $(c)$.

Vedclass · Answer

(D) Given: Initial horizontal velocity $u = 4\, m/s$,time of flight $t = 0.4\, s$,acceleration due to gravity $g = 10\, m/s^2$.$1$. Horizontal distance (Range) $R = u 	imes t = 4 	imes 0.4 = 1.6\, m$. Thus,statement $(a)$ is true.$2$. Vertical height of the table $h = \frac{1}{2}gt^2 = \frac{1}{2} 	imes 10 	imes (0.4)^2 = 5 	imes 0.16 = 0.8\, m$. Thus,statement $(c)$ is true.$3$. Vertical component of velocity at impact $v_V = gt = 10 	imes 0.4 = 4\, m/s$. Horizontal component $v_H = u = 4\, m/s$. Resultant speed $v = \sqrt{v_H^2 + v_V^2} = \sqrt{4^2 + 4^2} = 4\sqrt{2} \approx 5.66\, m/s$. Thus,statement $(b)$ is false.Since both $(a)$ and $(c)$ are true,the correct option is $(d)$.

$A$ ball is rolled off the edge of a horizontal table at a speed of $4\, m/s$. It hits the ground after $0.4\, s$. Which statement given below is true?

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