Question

answer this question.
please​

Answer 1

Answer:

Since acceleration is a velocity change over a time, the units on acceleration are velocity units divided by time units - thus (m/s)/s or (mi/hr)/s. The (m/s)/s unit can be mathematically simplified to m/s2.

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Answer 2

$\huge {\underline {\underline { \pink{ \sf{Answer : - }}}}}$

$\sf \: (i) \: \large {\underline {\blue {\sf{acceleration : - }}}}$

Acceleration is defined as the rate of change in velocity. Acceleration is a vector quantity hence it has both magnitude and direction. Acceleration is given by ,

$\large \underline {\boxed{ \bigstar {\red {\sf{ \: a = \frac{v - u}{t} = \frac{ \Delta v}{ \Delta t} = \frac{dv}{dt} }}}}}$

$\sf (ii) \: \large {\underline {\orange {\sf{units \: of \: Acceleration : - }}}}$

◉ SI unit of acceleration.

• SI unit of velocity = m/s
• SI unit of time = s

Since acceleration is defined as dv/dt.

$\implies \sf \:SI \: unit \: of \: acceleration = \frac{SI \: unit \: of \:velocity }{SI\: unit \: of \: time} \\ \\ \implies \sf \:SI \: unit \: of \: acceleration = \frac{m {s}^{ - 1} }{s} \\ \\ \implies \sf \: SI \: unit \: of \: acceleration \: = m {s}^{ - 1} \times {s}^{ - 1}$

$\large {\underline{\bold {\boxed {\bigstar {\red {\sf \: { {a}^{m} \times {a}^{n} = {a}^{m + n} }}}}}}}$

$\implies \sf \: SI \: unit \: of \: acceleration = m {s}^{ - 1 + ( - 1)} \\ \\ \implies {\underline {\bold {\boxed {\blue {\sf{ SI\: unit \: of \: acceleration = m {s}^{ - 2} }}}}}}$

◉ CGS unit of acceleration

$\implies \sf \: CGS \: unit \: of \: acceleration = \frac{CGS \: unit \: of \: acceleration}{CGS \: unit \: of \: time} \\ \\ \implies \sf \: CGS \: unit \: of \: acceleration = \frac{cm {s}^{ - 1} }{s} \\ \\ \implies \sf \: CGS \: unit \: of \: acceleration = cm {s}^{ - 1} \times {s}^{ - 1} \\ \\ \implies \sf \:CGS \: unit \: of \: acceleration = cm {s}^{ - 1 + ( - 1)} \\ \\ \implies {\underline {\bold {\boxed {\blue {\sf {\: CGS \: unit \: of \: acceleration = cm {s}^{ - 2} }}}}}}$

∴ The SI unit of acceleration is m/s²

CGS unit of acceleration is cm/s²