Question

A body starting from rest is moving with a velocity of 5 m/s and covered a distance of 20 m. Calculate acceleration of the body​

Answer 1

$\large \dag$ Question :-

A body starting from rest is moving with a velocity of 5 m/s and covered a distance of 20 m. Calculate acceleration of the body.

$\large \dag$ Answer :-

$\red\dashrightarrow\underline{\underline{\sf  \green{Acceleration \: of \: body  \:  is \:  0.625\: m/s^2 }} }$

$\large \dag$ Step by step Explanation :-

Here we have :

Initial Velocity = u = 0 m/s

Final Velocity = v  = 5 m/s

Distance Covered = s = 20 m

Let Acceleration be = a m/s²

❒ We Have 3rd Equation of Motion as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{\blue{v^2-u^2 = 2as}}}}$

⏩ Applying 3rd Equation of Motion ;

$:\longmapsto \rm {5}^{2} - 0 {}^{2} = 2 \times a \times 20$

$:\longmapsto \rm 25 - 0 = 40a$

$:\longmapsto \rm 40a = 25$

$:\longmapsto \rm a = \frac{25}{40}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf a = 0.625} }}}$

Therefore,

$\large\underline{\pink{\underline{\frak{\pmb{\text Acceleration = 0.625 \: m/s^2 }}}}}$

Answer 2

Answer:

• Acceleration of body = 0.625 m/s²

Explanation:

Given information,

A body starting from rest is moving with a velocity of 5 m/s and covered a distance of 20 m. Calculate acceleration of the body.

• Initial velocity (u) = 0 m/s
• Final velocity (v) = 5 m/s
• Distance covered (s) = 20 m

Using 3rd eqⁿ of motion,

✪ v² = u² + 2as ✪

Where,

• v denotes final velocity
• u denotes initial velocity
• a denotes acceleration
• s denotes distance covered

We have,

• u = 0 m/s
• v = 5 m/s
• s = 20 m
• a = ?

Putting all values,

➻ 5² = 0² + 2(a)(20)

➻ 5 × 5 = (0 × 0) + (2 × a × 20)

➻ 25 = 0 + (2 × 20 × a)

➻ 25 = 0 + (40 × a)

➻ 25 = 0 + (40a)

➻ 25 = 0 + 40a

➻ 25 = 40a

➻ 40a = 25

➻ a = 25/40

➻ a = 5/8

➻ a = 0.625

• Hence, acceleration of a body is 0.625 m/s².

Three equations of motion,

1. v = u + at
2. s = ut + ½ at²
3. v² = u² + 2as

Where,

• v denotes final velocity
• u denotes initial velocity
• a denotes acceleration
• s denotes distance covered
• t denotes time taken

Some important definitions,

• Acceleration

Acceleration is the process where velocity changes. Since, velocity is the speed and it has some direction. So, change in velocity is considered as acceleration.

• Initial velocity

Initial velocity is the velocity of the object before the effect of acceleration.

• Final velocity

After the effect of acceleration, velocity of the object changes. The new velocity gained by the object is known as final velocity.

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