Question

1. Is the S.I. unit of speed

Answer 1

Answer:

m/s

Explanation:

m/s is the SI unit of speed.

• Speed is the defined as the distance covered per unit time.
• It is a scalar quantity i.e it has only magnitude.
• It is denoted by 's'.

Derivation of SI unit of Speed :

As we know that,

★ Speed is the defined as the distance covered per unit time. So, mathematically,

$\dashrightarrow \bf{Speed =\dfrac{Distance}{Time}}$

Now, as we have to find the SI unit of speed so,

$\dashrightarrow \bf{SI \; unit_{Speed} =\dfrac{SI \; unit_{Distance}}{SI \; unit_{Time}}}$

SI unit of distance is metre (m) and SI unit of time is seconds (s).

$\dashrightarrow \bf{SI \; unit_{Speed} =\dfrac{m}{s} }$

Or we can say that,

$\dashrightarrow \boxed{\bf{SI \; unit_{Speed} = ms^{-1} }}$

Therefore the SI unit of speed is m/s.

$\rule{200}2$

Answer 2

m/s ,or ms⁻¹

EXPLANATION :

➻ Speed is the defined as the distance covered per unit time.

➻ It is a scalar quantity 

➻ It has only magnitude.

➻ It is denoted by 's'.

then, DERIVATION OF SI UNIT OF SPEED :

According to Definition of Speed, Speed is the defined as the distance covered per unit time.

$\boxed{ \bf Speed = \frac{Distance}{ Time}}$

then,

$\rm⇢ \: \: \rm SI \: \: UNIT_{(Speed)} = \frac{SI \: \: UNIT_{(Distance)} }{SI \: \: UNIT_{(Time)} }$

as SI unit of Distance is metre .

and, SI unit of Time is second .

then,

$\rm⇢ \: \: \rm SI \: \: UNIT_{(Speed)} = \frac{m}{s}$