Question

Calculate the acceleration of the car starting from rest which attains a velocity of 30 m/s in 0.5 min.​

Answer 1

Explanation:

Given: Initial velocity (u) = 0 m/s. Final velocity (v) = 30 m/s. Time taken (t) = 3 min = 180 s.

To Find: Acceleration (a)

Answer: From first equation of motion: Acceleration (a) of the car = 1.67 s.

Answer 2

Anѕwєr :

1 m/s²

Explαnαtion :

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

• The car has been started from rest i.e, Initial Velocity = 0 m/s
• Final velocity, v = 30 m/s
• Time Taken, t = 0.5 min

We've been asked to calculate acceleration. Before commencing the steps to calculate acceleration, firstly we need to convert t into its SI unit.

$\dashrightarrow \quad \rm { t = 0.5 \; min}$

$\dashrightarrow \quad \rm { t = (0.5 \times 60) \; s}$

$\dashrightarrow \quad\boxed{ \rm { t = 30 \; s}}$

Now, by using the first equation of motion :

$\bigstar \quad\underline{\boxed{ \bf {v = u + at }}}$

$\dashrightarrow \quad \rm { 30 = 0 + 30a}$

$\dashrightarrow \quad \rm { 30 - 0 =30a}$

$\dashrightarrow \quad \rm { 30 =30a}$

$\dashrightarrow \quad \rm { \dfrac{30}{30} = a}$

$\dashrightarrow \quad \underline{\boxed{ \bf { 1 \; m\: s^{-2} = Acceleration}}}$

∴ Acceleration of the car is 1 m/s².

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Lєαrn Morє :

Equations of motion :

⠀⠀⠀⠀⠀⠀⠀★ v = u + at

⠀⠀⠀⠀⠀⠀⠀★ s = ut + ½at²

⠀⠀⠀⠀⠀⠀⠀★ v² – u² = 2as

Where,

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

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