Question

An object is projected vertically upwards with a velocity 20m/s Find the maximum height reached by the body. (take g=10m/s)​

Answer 1

Answer:

$\sf{The \ maximum \ height \ reached \ by \ the}$$\sf{body \ is \ 20 \ m}$

Given:

• Initial velocity (u)=20 m/s

• Acceleration due to gravity (a)=10 m/s²

To find:

• The maximum height (s) reached by the body.

Solution:

$\sf{The \ object \ in \ moving \ opposite \ to \ gravity.}$

$\sf{\therefore{Final \ velocity (v)=0}}$

$\sf{Acceleration \ due \ to \ gravity=-g=-10 \ m \ s^{2}}$

$\sf{According \ to \ the \ third \ equation \ of \ motion.}$

$\sf{\mapsto{v^{2}=u^{2}+2as}}$

$\sf{\mapsto{\therefore{0^{2}=20^{2}+2(-10)s}}}$

$\sf{\mapsto{\therefore{0=400+2(-10)s}}}$$\sf{\mapsto{\therefore{2(-10)s=-400}}}$

$\sf{\mapsto{\therefore{s=\dfrac{400}{20}}}}$

$\sf{\mapsto{\therefore{s=20 \ m}}}$

$\sf\purple{\tt{\therefore{The \ maximum \ height \ reached \ by \ the}}}$

$\sf\purple{\tt{body \ is \ 20 \ m}}$

Answer 2

$\rule{200}2$

$\huge\bold{\mathtt{\underline{\underline{QUESTION}}}}$

➠ An object is projected vertically upwards with a velocity 20m/s Find the maximum height reached by the body. (take g=10m/s) .

$\rule{200}2$

$\huge\bold{\mathtt{\underline{\underline{ANSWER}}}}$

${\red\bigstar\large\bold{\mathrm{\green{\underline{Given:}}}}}$

➠$\sf Initial\:velocity \:=\: 20\: m/s$

➠ $\sf g\:=\:-\:10\:{m/s}^{2}$

$\sf g\:will \:be\:taken\:-ve\:here \\ \sf because\:it\:is\:thrown\:upward$

${\red\bigstar\large\bold{\mathrm{\green{\underline{To\:Find:}}}}}$

➠ $\sf Maximum\:height \:reached\:by\:the\:body\:(s)$

${\red\bigstar\large\bold{\mathrm{\green{\underline{Solution:}}}}}$

➠ $\sf v\:=\:0$

$\huge\bold{\textsf{\underline{\underline{\red{Formula\:used}}}}}$

$\large\boxed{\pink{\mathtt{ {v}^{2}\:-\:{u}^{2}\:=\:2as}}}$

➠ $\large\bold{\orange{\mathtt{ {0}^{2}\:-\:{20}^{2}\:=\:2(-10)s}}}$

➠ $\large\bold{\orange{\mathtt{-400\:=\:-20s}}}$

➠ $\large\bold{\orange{\mathtt{ s\:=\: \dfrac{-400}{-20}}}}$

➠$\large\bold{\orange{\mathtt{ s\:=\:20\:m}}}$

$\large\bold{\red{\underline{Maximum\:height\:reached\:=\:20\:m}}}$

$\rule{200}2$