The ratio of the displacements of a freely fa | vedclass

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

Question

(D) The displacement of a body in the $n^{th}$ second is given by the formula: $S_n = u + \frac{a}{2}(2n - 1)$.For a freely falling body,the initial v

Vedclass · Accepted Answer

$3: 9$

Vedclass · Answer

(D) The displacement of a body in the $n^{th}$ second is given by the formula: $S_n = u + \frac{a}{2}(2n - 1)$.For a freely falling body,the initial velocity $u = 0$ and acceleration $a = g$.Thus,the displacement in the $n^{th}$ second is $S_n = \frac{g}{2}(2n - 1)$.For the second second $(n = 2)$: $S_2 = \frac{g}{2}(2(2) - 1) = \frac{g}{2}(3) = 1.5g$.For the fifth second $(n = 5)$: $S_5 = \frac{g}{2}(2(5) - 1) = \frac{g}{2}(9) = 4.5g$.The ratio of displacements is $\frac{S_2}{S_5} = \frac{1.5g}{4.5g} = \frac{1.5}{4.5} = \frac{1}{3}$.

The ratio of the displacements of a freely falling body during the second and fifth seconds of its motion is

Similar Questions

If the water falls from a dam into a turbine wheel $19.6 \ m$ below,then the velocity of water at the turbines is .................. $m/s$ (take $g = 9.8 \ m/s^2$).

$A$ person throws balls into the air vertically upward at regular intervals of time of $1 \,s$. The next ball is thrown when the velocity of the ball thrown earlier becomes zero. The height to which the balls rise is (Assume $g = 10 \,m/s^2$) (in $\,m$)

$A$ ball of mass $m_1$ and another ball of mass $m_2$ are dropped from equal height. If the time taken by the balls are $t_1$ and $t_2$ respectively,then:

$A$ ball is thrown vertically upwards with a velocity of $19.6 \, m/s$ from the top of a tower. The ball strikes the ground after $6 \, s$. The height from the ground up to which the ball can rise is given by $\left(\frac{k}{5}\right) \, m$. The value of $k$ is ..... (use $g = 9.8 \, m/s^2$)

Which graph best shows the velocity-time graph for an object launched vertically into the air when air resistance is given by $|D| = bv$? The dashed line shows the velocity graph if there were no air resistance.

Vedclass Test Series

Exam Paper Generator

Online Exam Module