Question

a bike accelerates uniformly from rest to velocity of 10 m/s over a distance of 50m. determine the acceleration of the bike.​

Answer 1

Aɴsᴡᴇʀ:

• The acceleration of the bike = 1m/s²

Gɪᴠᴇɴ:

• A bike accelerates uniformly from rest to velocity of 10 m/s over a distance of 50m.

Nᴇᴇᴅ Tᴏ Fɪɴᴅ:

• The acceleration of the bike = ?

Solution:

Bʏ ᴜsɪɴɢ ᴛʜɪʀᴅ ᴇǫᴜᴀᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ:

• v² = u² + 2as

Pᴜᴛᴛɪɴɢ Tʜᴇ Vᴀʟᴜᴇs:

➦ 10² = 0² + 2 × a × 50

➦ 100 = 100a

➦ Acceleration = 100/100

➦ Acceleration = 1 m/s²

Tʜᴇʀᴇғᴏʀᴇ:

• The acceleration of the bike = 1m/s²

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Answer 2

Question:-

A bike accelerates uniformly from rest to velocity of 10 m/s over a distance of 50m. determine the acceleration of the bike.

Solution:-

Given,

• A bike accelerates uniformly from rest and comes to a velocity of 10m/s and covers a distance of 50m.
• Then find the acceleration.

We have to use second equation of motion to find the acceleration:-

➣ v² - u² = 2as

➣ 10² - 0² = 2(a)(50)

➣ 100 = 100a

➣ a = 1m/s²

∴ ✐ Acceleration of the bike is 1m/s².