A window is 50,cm long. A stone is falling fr | vedclass

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

Question

(C) Let the top of the window be at distance $h_1 = 40\,cm$ from the starting point of the stone.Let the bottom of the window be at distance $h_2 = 40

Vedclass · Accepted Answer

$\frac{1}{7}\,s$

Vedclass · Answer

(C) Let the top of the window be at distance $h_1 = 40\,cm$ from the starting point of the stone.Let the bottom of the window be at distance $h_2 = 40\,cm + 50\,cm = 90\,cm$ from the starting point.The time taken to reach the top of the window is $t_1 = \sqrt{\frac{2h_1}{g}} = \sqrt{\frac{2 	imes 40}{980}} = \sqrt{\frac{80}{980}} = \sqrt{\frac{4}{49}} = \frac{2}{7}\,s$.The time taken to reach the bottom of the window is $t_2 = \sqrt{\frac{2h_2}{g}} = \sqrt{\frac{2 	imes 90}{980}} = \sqrt{\frac{180}{980}} = \sqrt{\frac{9}{49}} = \frac{3}{7}\,s$.The time taken to cross the window is $\Delta t = t_2 - t_1 = \frac{3}{7} - \frac{2}{7} = \frac{1}{7}\,s$.

$A$ window is $50\,cm$ long. $A$ stone is falling from a height of $40\,cm$ above the window. It crosses the window in

Similar Questions

$A$ particle is projected vertically upwards such that it attains a height of $h$ after $5 \ s$ and $9 \ s$ of its motion. The speed of projection is $...... \ m/s$ $(g = 10 \ m/s^2)$.

$A$ body is projected vertically upwards at time $t=0$ and it is seen at a height $H$ at times $t_1$ and $t_2$ seconds during its flight. The maximum height attained is ($g$ is acceleration due to gravity).

$A$ ball is thrown upward with speed $10 \, m/s$ from the top of a tower and reaches the ground with a speed $20 \, m/s$. The height of the tower is ......... $m$. (Take $g = 10 \, m/s^2$)

$A$ stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first $5 \,s$. It is in air for....... $s$.

$A$ player throws a ball upwards with an initial speed of $29.4 \; m s^{-1}$. What is the direction of acceleration during the upward motion of the ball?

Vedclass Test Series

Exam Paper Generator

Online Exam Module