A ball is thrown vertically upward with an initial velocity of 150,m / s . ratio of velocity after 3

English

Gujarati

Hindi

2.Motion in Straight Line

medium

A ball is thrown vertically upward with an initial velocity of $150\,m / s$. The ratio of velocity after $3\,s$ and $5\,s$ is $\frac{x+1}{x}$. The value of $x$ is $...........$ Take $\left(g=10\,m / s ^2\right)$

A

$6$

B

$5$

C

$-5$

D

$10$

(JEE MAIN-2023)

Solution

$\overrightarrow{ V }=\overrightarrow{ u }+\overrightarrow{ a t}$

$V =150-10 t$

$V (3)=150-30=120$

$V (5)=150-50=100$

$\frac{120}{100}=\frac{ x +1}{ x }=\frac{6}{5} \Rightarrow x =5$

Standard 11

Physics

Share

Similar Questions

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

medium

A ball projected from ground vertically upward is at same height at time $t_1$ and $t_2$. The speed of projection of ball is [Neglect the effect of air resistance]

medium

If a body is thrown up with the velocity of $15 \,m/s$ then maximum height attained by the body is……….$m$ ($g = 10\,m/{s^2}$)

easy

An iron ball and a wooden ball of the same radius are released from the same height in vacuum. They take the same time to reach the ground. The reason for this is

easy

Two balls $A$ and $B$ are thrown with same velocity $u$ from the top of a tower. Ball $A$ is thrown vertically upwards and the ball $B$ is thrown vertically downwards. If $t_A = 6\ s$ and $t_B = 2\ s$, then the height of the tower is ……… $m$

medium