Question

A boy throw a ball vertically upwards.It rises to the height of 10 m and returns to the point of where it was thrown. What is a total distance moved by a ball?What is a total displacement of a ball? ​

Answer 1

Answer:

The ball is thrown vertically uowards.

It rises 10 m high.

Then, it comes back to the starting point.

Hence, the distance travelled by the ball = 10 + 10 = 20 m and the Displacement = 0 m.

Whenever, the body travels some distance, and then comes back to the same starting point by the same path, the distance is doubled and the displacement gets 0.

Distance is the total length of the path travelled by the body.

Displacement is the shortest distance between the initial position and the final position of the body.

Distance is a scalar quantity whereas displacement is a vector quantity.

Some more terms :

Velocity is the rate of change of displacement.

Velocity is a vector quantity.

Speed is the rate of change of distance.

Speed is a scalar quantity.

Acceleration is the rate of change of velocity.

It is a vector quantity.

Answer 2

GIVEN :-

• A ʙᴏʏ ᴛʜʀᴏᴡ ᴀ ʙᴀʟʟ ᴠᴇʀᴛɪᴄᴀʟʟʏ ᴜᴘᴡᴀʀᴅ .

• Iᴛ ʀɪsᴇs ᴛᴏ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ 10 ᴍ ᴀɴᴅ ʀᴇᴛᴜʀɴs ᴛᴏ ᴛʜᴇ ᴘᴏɪɴᴛ, ᴡʜᴇʀᴇ ɪᴛ ᴡᴀs ᴛʜʀᴏᴡɴ .

TO FIND :-

1. Tʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴍᴏᴠᴇᴅ ʙʏ ᴛʜᴇ ʙᴀʟʟ .
2. Tʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ʙᴀʟʟ .

SOLUTION :-

[1] Dɪsᴛᴀɴᴄᴇ :-

☯︎ Tʜᴇ ᴛᴏᴛᴀʟ ᴡᴀʏ ᴛʜᴀᴛ ᴛʜᴇ ʙᴀʟʟ ᴍᴏᴠᴇᴅ, ɪs ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴛʜᴇ ʙᴀʟʟ .

☯︎ Sᴏ, ᴡʜᴇɴ ᴛʜᴇ ʙᴀʟʟ ʀɪsᴇᴅ ᴠᴇʀᴛɪᴄᴀʟʟʏ ᴜᴘᴡᴀʀᴅ, ɪᴛ ᴄᴏᴠᴇʀᴇᴅ 10ᴍ . Aɴᴅ ᴛʜᴇ ʙᴀʟʟ ᴀɢᴀɪɴ ʀᴇᴛᴜʀɴᴇᴅ ʙᴀᴄᴋ ᴛᴏ ᴛʜᴇ sᴀᴍᴇ ᴘᴏɪɴᴛ ᴡʜᴇʀᴇ ɪᴛ sᴛᴀʀᴛᴇᴅ .

☯︎ Hᴇɴᴄᴇ, ɪᴛ ᴄᴏᴠᴇʀᴇᴅ ᴀɢᴀɪɴ 10ᴍ .

$\huge\purple\checkmark$ Tᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ = 10 + 10

➪ Tᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ = 20 ᴍ

$\huge\red{\therefore}$ Tʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴍᴏᴠᴇᴅ ʙʏ ᴛʜᴇ ʙᴀʟʟ is "20m" .

___________________________

[2] Dɪsᴘʟᴀᴄᴇᴍᴇɴᴛ :-

✯ Tʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴛʜᴀᴛ ᴛʜᴇ ʙᴀʟʟ ᴄᴏᴠᴇʀᴇᴅ ғʀᴏᴍ ᴛʜᴇ ᴘᴏɪɴᴛ ᴡʜᴇʀᴇ ɪᴛ sᴛᴀʀᴛᴇᴅ ʜɪs ᴊᴏᴜʀɴᴇʏ ᴛᴏ ᴛʜᴀᴛ ᴘᴏɪɴᴛ ᴡʜᴇʀᴇ ɪᴛ ᴇɴᴅs ᴛʜᴇ ᴊᴏᴜʀɴᴇʏ .

✯ Sᴏ, ᴛʜᴇ ʙᴀʟʟ sᴛᴀʀᴛᴇᴅ ʜɪs ᴊᴏᴜʀɴᴇʏ ғʀᴏᴍ ɢʀᴏᴜɴᴅ ᴜᴘᴛᴏ 10ᴍ ᴠᴇʀᴛɪᴄᴀʟʟʏ ᴜᴘᴡᴀʀᴅ . Aɴᴅ ᴇɴᴅs ᴛʜᴇ ᴊᴏᴜʀɴᴇʏ ᴀᴛ ᴛʜᴇ sᴀᴍᴇ ᴘᴏɪɴᴛ ᴡʜᴇʀᴇ ɪᴛ sᴛᴀʀᴛᴇᴅ ʜɪs ᴊᴏᴜʀɴᴇʏ .

✯ Hᴇɴᴄᴇ, ᴛʜᴇ ʙᴀʟʟ ʟᴏsᴛ ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴏғ 10ᴍ, ᴡʜᴇɴ ʜᴇ ᴄᴀᴍᴇ ʙᴀᴄᴋ ᴛᴏ ᴛʜᴇ ᴍᴇᴀɴ ᴘᴏɪɴᴛ .

$\huge\purple\checkmark$ Tᴏᴛᴀʟ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ = 10 - 10

➪ Tᴏᴛᴀʟ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ = 0 ᴍ

$\huge\red{\therefore}$ Tʜᴇ ᴛᴏᴛᴀʟ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ʙᴀʟʟ is "10m" .