A ball projected vertically upwards with a ve | vedclass

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

Question

(D) Let the point $P$ be at a height $h$ from the ground. The equation of motion is $h = vt - \frac{1}{2}gt^2$.Rearranging this,we get $\frac{1}{2}gt^

Vedclass · Accepted Answer

$2(\frac{v}{g}-x)$

Vedclass · Answer

(D) Let the point $P$ be at a height $h$ from the ground. The equation of motion is $h = vt - \frac{1}{2}gt^2$.Rearranging this,we get $\frac{1}{2}gt^2 - vt + h = 0$.This is a quadratic equation in $t$,which has two roots $t_1$ and $t_2$,representing the times when the ball is at height $h$.Given $t_1 = x$,the sum of the roots is $t_1 + t_2 = \frac{-(-v)}{\frac{1}{2}g} = \frac{2v}{g}$.Therefore,$t_2 = \frac{2v}{g} - x$.The time taken to reach the point $P$ again from the first time it passed through $P$ is $t_2 - t_1 = (\frac{2v}{g} - x) - x = \frac{2v}{g} - 2x = 2(\frac{v}{g} - x)$.

$A$ ball projected vertically upwards with a velocity '$v$' passes through a point $P$ in its upward journey in a time of '$x$' seconds. From there,the time in which the ball again passes through the same point $P$ is

Similar Questions

Two bodies begin a free fall from the same height at a time interval of $N \, s$. If the vertical separation between the two bodies is $1 \, m$ after $n \, s$ from the start of the first body,then $n$ is equal to:

$A$ man throws balls with the same speed vertically upwards one after the other at an interval of $2\,s$. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given $g = 9.8\,m/s^2$)

Can a particle moving in a straight line have zero velocity and non-zero acceleration at any instant? Give an example.

$A$ body is thrown vertically upwards. If air resistance is to be taken into account,then the time during which the body rises is

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module