The initial speed of.... | JEE Main 2023 | Projectile Motion

Competishun Header

JEE MAIN 2023

31-01-23 S1

Question

The initial speed of a projectile fired from ground is $u$. At the highest point during its motion, the speed of projectile is $\frac{\sqrt{3}}{2} u$. The time of flight of the projectile is:

Select the correct option:

A

$\frac{u}{2 g}$

B

$\frac{\mathrm{u}}{\mathrm{g}}$

C

$\frac{2 \mathrm{u}}{\mathrm{g}}$

D

$\frac{\sqrt{3} \mathrm{u}}{\mathrm{g}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Medium

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

QJEE Main 20242024

The coefficients $a, b, c$ in the quadratic equation $a x^2+b x+c=0$ are from the set $\{1,2,3,4,5,6\}$. If the probability...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The values of $m, n$, for which the system of equations
$...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let the set $S=\{2,4,8,16, \ldots, 512\}$ be partitioned into 3 sets $\mathrm{A}, \mathrm{B}, \mathrm{C}$ with equal number of elements such...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let the circle $C_1: x^2+y^2-2(x+y)+1=0$ and $C_2$ be a circle having centre at $(-1,0)$ and radius 2 . If the...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $f, \mathrm{~g}: \mathrm{R} \rightarrow \mathrm{R}$ be defined as : $f(\mathrm{x})=|\mathrm{x}-1|$ and $...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

If the constant term in the expansion of $\left(\frac{\sqrt[5]{3}}{x}+\frac{2 x}{\sqrt[3]{5}}\right)^{12}, x \neq 0$, is $\alpha \times 2^8 \times \sqrt[5]{3}$, then...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $(\alpha, \beta, \gamma)$ be the point $(8,5,7)$ in the line $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}$. Then $\alpha+\beta+\gamma$ is equal to

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $\mathrm{A}(-1,1)$ and $\mathrm{B}(2,3)$ be two points and P be a variable point above the line $A B$ such that...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Consider three vectors $\vec{a}, \vec{b}, \vec{c}$. Let $|\vec{a}|=2,|\vec{b}|=3$ and $\overrightarrow{\mathrm{a}}=\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}$. If $\alpha \in\left[0, \frac{\pi}{3}\right]$ is the angle between...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $\vec{a}=2 \hat{\imath}+5 \hat{\jmath}-\hat{k}, \vec{b}=2 \hat{\imath}-2 \hat{\jmath}+2 \hat{k}$ and $\overrightarrow{\mathrm{c}}$ be three vectors such that $(\vec{c}+\hat{\imath}) \times(\vec{a}+\vec{b}+\hat{\imath})=\vec{a} \times(\vec{c}+\hat{\imath})$. $...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

60 words can be made using all the letters of the word BHBJO, with or without meaning. If these words...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The area enclosed between the curves $y=x|x|$ and $\mathrm{y}=\mathrm{x}-|\mathrm{x}|$ is :

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $S_1=\{z \in C:|z| \leq 5\}, S_2=\left\{z \in C: \operatorname{Im}\left(\frac{z+1-\sqrt{3} i}{1-\sqrt{3} i}\right) \geq 0\right\}$ and $...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The differential equation of the family of circles passing the origin and having center at the line $\mathrm{y}=\mathrm{x}$ is :

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

Let $f:[-1,2] \rightarrow \mathrm{R}$ be given by $f(\mathrm{x})=2 \mathrm{x}^2+\mathrm{x}+\left[\mathrm{x}^2\right]-[\mathrm{x}]$, where $[\mathrm{t}]$ denotes the greatest integer less than or equal to...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

The current in an inductor is given by I = (3t + 8) where t is in second. The magnitude...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A wire of resistance $20 \Omega$ is divided into 10 equal parts. A combination of two parts are connected in...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height...

JEE MainPhysicsEasy

View Solution→