Question

A car accelerates uniformly from 18 km/h to 36 km/h in 5 s. Calculate the acceleration. *

Answer 1

$\huge\sf\pink{Answer}$

☞ Acceleration = 5 m/s

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$\huge\sf\blue{Given}$

✭ Initial Velocity = 18 km/h

✭ Final Velocity = 36 km/h

✭ Time = 5 s

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$\huge\sf\gray{To \:Find}$

◈ The acceleration of the body?

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$\huge\sf\purple{Steps}$

So here we shall use the first Equation of motion, that is,

$\underline{\boxed{\red{\sf v = u+at}}}$

Where,

≫ v = Final Velocity

≫ u = Initial Velocity

≫ a = Acceleration

≫ t = Time taken

So here on converting from km/h to m/s

»» $\sf Initial \ Velocity = \dfrac{18\times 1000}{60\times 60} = 5 \ m/s$

»» $\sf Final \ Velocity = \dfrac{36\times 1000}{60\times 60} = 10 \ m/s$

Substituting the given values,

➝ $\sf v = u+at$

➝ $\sf 10 = 5+a\times 5$

➝ $\sf 10-5 = 5a$

➝ $\sf 5 = 5a$

➝ $\sf \dfrac{5}{5} = a$

➝ $\sf\orange{a = 1 \ m/s}$

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Answer 2

ɢɪᴠᴇɴ ᴘᴀʀᴀᴍᴇᴛᴇʀs

$Time \: taken ,(t) = 5 \sec$

$Initial\:velocity ,(u) =18 km/hour$

$u=18×1000 ÷ 60×60s$

$u = 5 m/s$

$Final\:velocity ,(v) =36km/hour$

$v = 36×1000 ÷ 60×60s$

$v =10 m/s$

ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴀɴᴅ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟᴇᴅ

ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟᴇᴅᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ

$acceleration \: (a) = (v – u)/t$

sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇs ɪɴ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇϙᴜᴀᴛɪᴏɴ ᴡᴇ ɢᴇᴛ,

$a = (10 – 5)/5$

$a =5/5$

$a = 1 \: m/ {s}^{2}$

ʜᴇɴᴄᴇ,

$acceleration ,(a) =1 m/s²$