Question

A bus starting from rest moves with a uniform acceleration of 0.1 m s-2 for 2 minutes. Find (a) the speed acquired,(b) the distance travelled.

Answer 1

Answer :-

a) 12m/s

b) 720m

Explanation :-

Given :

Initial velocity of the bus,u => 0m/s

Acceleration,a => 0.1m/s^2

Time taken,t => 2 minutes = 120 s

[1min =60s]

To Find :

a)The speed acquired,s

(b)The distance travelled,s

Solution :

From first equation of motion we get,

$\sf{} v= u+at$

Put their values and solve it.

$\sf{}\implies v = 0+ 0.1\times 120$

$\sf{}\therefore v = 12m/s$

Therefore,speed is equal to 12m/s

From third equation of motion we get,

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

$\sf{}\implies (12)^2=0+2\times 0.1\times s$

$\sf{}\implies 144=0.2\times s$

$\sf{}\implies \dfrac{144}{0.2}= s$

$\sf{}\therefore s=720m$

Therefore,distance is equal to 720m

Answer 2

GIVEN :-

• ᴀ ʙᴜs ɪs ʀᴇsᴛ ғʀᴏᴍ sᴛᴀʀᴛɪɴɢ .

• Tʜᴀᴛ ʙᴜs ᴍᴏᴠᴇs ᴡɪᴛʜ ᴀ ᴜɴɪғᴏʀᴍ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴏғ “ 0.1 m/s² ” ғᴏʀ 2 ᴍɪɴᴜᴛᴇs .

TO FIND :-

1. Tʜᴇ sᴘᴇᴇᴅ ᴀᴄǫᴜɪʀᴇᴅ ʙʏ ʙᴜs .
2. Tʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙʏ ʙᴜs .

SOLUTION :-

$\huge\orange\star$ $\bf{\gray{\underline{\pink{\boxed{\purple{v\:=\:u\:+\:at\:}}}}}}$

Where,

• v = Fɪɴᴀʟ ᴠᴇʟᴏᴄɪᴛʏ

• ᴜ = Iɴɪᴛɪᴀʟ ᴠᴇʟᴏᴄɪᴛʏ

• a = Aᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ

• t = Tɪᴍᴇ

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ,

• ᴠ = ?

• ᴜ = 0 m/s

• a = 0.1 m/s²

• t = 2 min. = 2 × 60 = 120 s

➪ ᴠ = 0 + 0.1 × 120

➪ ᴠ = 0 + 12

➪ ᴠ = 12 m/s

$\rm\pink{\therefore}$ [1] Tʜᴇ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ʙᴜs ɪs "12 m/s" .

$\huge\green\star$ $\bf{\gray{\underline{\pink{\boxed{\purple{S\:=\:ut\:+\:\dfrac{1}{2}\:at^2\:}}}}}}$

Where,

• S = ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ

• ᴜ = ɪɴɪᴛɪᴀʟ ᴠᴇʟᴏᴄɪᴛʏ

• t = ᴛɪᴍᴇ

• a = ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ,

• s = ?

• ᴜ = 0 m/s

• t = 2 min. = 2 × 60 = 120 s

• a = 0.1 m/s²

$\rm{\implies\:S\:=\:0\times{120}\:+\:\dfrac{1}{2}\times{0.1}\times{(120)^2}\:}$

$\bf\green{\implies\:S\:=\:720\:m\:}$

$\rm\pink{\therefore}$ [2] Tʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙʏ ʙᴜs ɪs "720 m" .