A body is thrown vertically upwards and reach | vedclass

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

Question

(B) Let the initial velocity be $u$. At maximum height $h$,the final velocity is $0$.Using $v = u - gt$,we get $0 = u - gt$,so $u = gt$.The maximum he

Vedclass · Accepted Answer

$\left(1+\frac{1}{\sqrt{2}}\right) t$

Vedclass · Answer

(B) Let the initial velocity be $u$. At maximum height $h$,the final velocity is $0$.Using $v = u - gt$,we get $0 = u - gt$,so $u = gt$.The maximum height is $h = \frac{u^2}{2g} = \frac{(gt)^2}{2g} = \frac{gt^2}{2}$.The body reaches the maximum height in time $t$.While returning,the body starts from rest at height $h$ and falls to height $h/2$. The distance covered is $s = h - h/2 = h/2$.Using $s = \frac{1}{2}gt'^2$,where $t'$ is the time taken to fall from maximum height to $h/2$:$\frac{h}{2} = \frac{1}{2}gt'^2 \implies t'^2 = \frac{h}{g} = \frac{gt^2/2}{g} = \frac{t^2}{2}$.Thus,$t' = \frac{t}{\sqrt{2}}$.The total time from projection is $T = t + t' = t + \frac{t}{\sqrt{2}} = \left(1 + \frac{1}{\sqrt{2}}\right) t$.

$A$ body is thrown vertically upwards and reaches its maximum height in $t$ seconds. The total time from the time of projection to reach a point at half of its maximum height while returning (in seconds) is:

Similar Questions

In the random experiment of tossing two unbiased dice,let $E$ be the event of getting the sum $8$ and $F$ be the event of getting even numbers on both the dice. Then:
$I. P(E) = \frac{7}{36}$
$II. P(F) = \frac{1}{3}$
Which of the following is a correct statement?

An ideal heat engine operates on a Carnot cycle between $227\,^{\circ}C$ and $127\,^{\circ}C$. It absorbs $6 \times 10^4\, \text{cal}$ at the higher temperature. The amount of heat converted into work is equal to:

In which of the following is the gametophytic phase reduced,short-lived,and limited to the formation of gametes?

$A$ stretched wire of length $110 \ cm$ is divided into three segments whose frequencies are in the ratio $1 : 2 : 3$. Their lengths must be

If $\alpha$ and $\beta$ are the roots of the equation $x^2-2x+4=0$,then $\alpha^9+\beta^9$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module