Question

a car moving at 50km/h after 15 minutes it is moving at speed of 80km/h find the acceleration of the car!

Answer 1

Answer:

$\\\tt 120 Km h^{-2}$

Explanation:

Acceleration is defined as ate of change of velocity. Mathematically,

$\\\tt \dfrac{v_{final} - v_{inital}}{\Delta t} \\\\\tt Here \ acceleration = \dfrac{80Kmh^{-1} - 50Kmh^{-1} }{15/60 h}\\\\\tt = \dfrac{30Kmh^{-1} }{0.25 h} = 120 Km h^{-2}$

Answer 2

Given : A car moving at 50km/h after 15 minutes it is moving at speed of 80km/h .

Exigency To Find : The Acceleration of car .

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Given that :

• Initial velocity of car [ u ] is 50 km/ h
• Final Velocity of car [ v ] is 80 km/h
• Total time taken is [ t ] 15 min

⠀⠀⠀⠀⠀━━━ Converting time from minutes to hours :

$\qquad:\implies \sf 15 \ min \ = \: \dfrac{15}{60} hrs \: \qquad \bigg\lgroup \sf{1 \: hrs \:= \:60 \:min \: }\bigg\rgroup$

$\qquad:\implies \sf 15 \ min \ = \: \cancel {\dfrac{15}{60}} hrs \:$

$\qquad:\implies \sf 15 \ min \ = \: 0.25 hrs \:$

$\qquad:\implies \bf Total \: Time \:Taken \: [ \ t \ ] \ = \: 0.25\: hrs \:$

⠀⠀⠀Finding Acceleration of car :

$\dag\:\:\sf{ As,\:We\:know\:that\::}\\\\ \qquad \bigstar \:\: \bf Acceleration \: : \: \sf The \: rate \:of \: of \: change \:of\: velocity\:is \:known \: as \: Acceleration \:. \:\\\\ \qquad\maltese\:\:\bf Formula \:for \: Acceleration\::$

$\qquad \dag\:\:\bigg\lgroup \sf{Acceleration \:: \dfrac{ v - u }{t} }\bigg\rgroup$

⠀⠀⠀Here , v is the final velocity , u is the Initial velocity and t is the total time taken .

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad:\implies \sf Acceleration_{(car)} \: = \: \dfrac{ 80 \: - 50\: }{0.25\:} \:$

$\qquad:\implies \sf Acceleration_{(car)} \: = \: \dfrac{ 30\: }{0.25 \: } \:$

$\qquad:\implies \sf Acceleration_{(car)} \: = \:\cancel {\dfrac{ 30 \: }{0.25\: } }\:$

$\qquad:\implies \bf Acceleration_{(car)} \: = \: 120 \: km \:/ h^2 \:\:$

$\qquad :\implies \frak{\underline{\purple{\:Acceleration_{(car)} \: = \: 120\: km/h^{2}\: }} }\:\:\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {\:Acceleration \:of\:car\:is\:\bf{120\: km/h^2 }}}}$

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