Question

A body starts from west, reaches a velosity of 8m/s in 4 seconds. Find the acceleration.
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Answer 1

Appropriate Question:

A body starts from rest, reaches a velocity of 8m/s in 4 seconds. Find the acceleration.

Explanation:

As per the provided information in the given question, we have :

• Initial velocity (u) = 0 m/s [As it starts from rest]
• Final velocity (v) = 8 m/s
• Time taken (t) = 4 seconds

We've been asked to calculate the acceleration.

$\odot$ Acceleration is the rate of change in velocity. Its SI unit is m/s². It is a vector quantity that means it requires both magnitude and direction. Mathematically,

$\longrightarrow \sf{\quad {a = \dfrac{v - u}{t} }}$

• a denotes acceleration
• v denotes final velocity
• u denotes initial velocity
• t denotes time

$\longrightarrow \sf{\quad {a = \dfrac{8 - 0}{4} \; m \: s^{-2}}}$

$\longrightarrow \sf{\quad {a = \cancel{\dfrac{8}{4} }\; m \: s^{-2}}}$

$\longrightarrow \quad\underline{\boxed { \textbf{\textsf{ a = 2 \; m \: s}}^{\textbf{\textsf{-2}}}}}$

Therefore, acceleration of the body is 2 m/s².

$\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

Another Method : Here, we can also find the acceleration using the first equation of motion. Frist equation of motion is » v = u + at «. Here, v denotes final velocity ; u denotes initial velocity ; a denotes acceleration and t denotes time.

$\longrightarrow \sf{\quad {v = u + at }}$

$\longrightarrow \sf{\quad {8 = 0 + 4a }}$

$\longrightarrow \sf{\quad {8 - 0= 4a }}$

$\longrightarrow \sf{\quad {8 = 4a }}$

$\longrightarrow \sf{\quad {\cancel{\dfrac{8}{4}} = a }}$

$\longrightarrow \quad\underline{\boxed { \textbf{\textsf{ a = 2 \; m \: s}}^{\textbf{\textsf{-2}}}}}$

Therefore, acceleration of the body is 2 m/s².

Answer 2

Explanation:

⟶ Given :-

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• lnitial Velocity [ U ] = 0
• Final Velocity [ V ] = 8 m/s
• Time [ T ] = 4 seconds

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⟶ To Find :-

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• Acceleration of the body.

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⟶ Answer :-

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⠀⠀⠀⠀⠀$\bigstar \: \bold \red{Formula \: Required :- } \\ \\ \footnotesize \bold{ \mapsto{Velocity = \frac{V - U }{T} } }$

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⟶ Solution :-

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• Substituting the given values in the above formula :-

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⠀⠀⠀⠀⠀⠀$\Rightarrow \bold {V = \bold{\frac{8 - 0}{4} }} \\ \\ \bold{V = \cancel{\frac{8}{4}} } \\ \\ \mapsto\boxed{\bold\pink {V =2 \: m \: s {}^{ - 1} }}$

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⟶ Hence,

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• ⠀Acceleration of body = $\bold\red{2 \: m \: s {}^{ - 1}}$

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