Question

Final velocity v according to the third equation of motion is (a) √u²+2as (b) u+2as (c) u²+2as (d) ut +2as

Answer 1

Answer:

$\boxed{Option\:(a):\sqrt{u^2 + 2as}}$

Explanation:

There are 3 equations of motion. They are:

1. v = u + at
2. s = ut + 0.5at²
3. v² = u² + 2as

According to the question, we are required to find velocity in terms of third equation of motion.

Hence considering the third equation we get:

→ v² = u² + 2as

Taking square root on both sides we get:

→ v = √ ( u² +  2as )

Hence Option (a) is the correct answer.

Answer 2

ᴀɴsᴡᴇʀ

✦ ᴏᴘᴛɪᴏɴ (a) √u² + 2as is the correct answer.

ᴇxᴘʟᴀɴᴀᴛɪᴏɴ

ᴛʜᴇ ᴛʜɪʀᴅ ᴇǫᴜᴀᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ is

➭ v² = u² +2s

v = √u² + 2as

∴ᴛʜᴇ ғɪɴᴀʟ ᴠᴇʟᴏᴄɪᴛʏ ᴠ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ ɪs √u² + 2as.

ᴛʜᴇ ᴛʜʀᴇᴇ ᴇǫᴜᴀᴛɪᴏɴs ᴏғ ᴍᴏᴛɪᴏɴ ᴀʀᴇ :-

(ɪ) v = u +at

(ɪɪ) s = ut + 1/2at²

(ɪɪɪ) v² = u² +2as

where,

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time taken

s is the distance covered