Science, asked by snaidenjoanes, 3 months ago

A car starting from rest attains a velocity of 30ms-1 in 5 seconds find(a) acceleration
(b) the distance travelled by the car in 5 seconds ​

Answers

Answered by Yuseong
13

Required Answer :

Given :

• Initial velocity of car (u) = 0 [ As it starts from rest.]

• Final velocity (v) = 30 m/s

• Time taken (t) = 5 seconds

To calculate :

• Acceleration (a)

• The distance travelled by the car (s)

Calculation :

Calculating acceleration -

By using the first equation of motion :

→ v = u + at

Where,

• v = final velocity

• u = initial velocity

• a = acceleration

• t = time taken

Inserting values, we get :

→ v = u + at

→ 30 = 0 + ( a × 5 )

→ 30 = 0 + 5a

→ 5a = 30 - 0

→ 5a = 30

→ a = 30/5

a = 6 m/s²                       [Acceleration]

Therefore, acceleration of the car is 6 m/s² .

Calculating distance travelled -

By using the third equation of motion :

→ s = ut + ½ at²

Where,

• v = final velocity

• u = initial velocity

• a = acceleration

• s = distance travelled

Inserting values, we get :

→ s = ut + ½ at²

→ s = ( 0 × 5 ) + ½ × 6 × (5)²

→ s = 0 + ½ × 6 × 25

→ s = 1 × 3 × 25

s = 75 m                       [Distance]

Therefore, distance travelled by the car in 5 seconds is 75 m.

_______________________________

Extra Information :

ꜰɪʀꜱᴛ ᴇQᴜᴀᴛɪᴏɴ ᴏꜰ ᴍᴏᴛɪᴏɴ :

  • v = u + at

→ v = final velocity

→ u = initial velocity

→ a = acceleration

→ t = time taken

ꜱᴇᴄᴏɴᴅ ᴇQᴜᴀᴛɪᴏɴ ᴏꜰ ᴍᴏᴛɪᴏɴ :

  • s = ut + ½ at²

Where,

→ v = final velocity

→ u = initial velocity

→ a = acceleration

→ s = distance travelled

ᴛʜɪʀᴅ ᴇQᴜᴀᴛɪᴏɴ ᴏꜰ ᴍᴏᴛɪᴏɴ :

  • v² - u² = 2as

Where,

→ v = final velocity

→ u = final velocity

→ a = acceleration

→ s = distance travelled

  • When the body starts from rest, its initial velocity is 0.

  • When the body comes to rest or apply breaks, its final velocity is 0.

___________________________


rsagnik437: Amazing! :D
Yuseong: Thankyou Sagnik oppa !! (^・^)♡
Anonymous: Splendid! :D
Yuseong: Thankyou !! (=^・^=)♡
Anonymous: Welcome :D
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