Question

A car started from rest and travelled with uniform acceleration . The car covered 25 metre distance along a straight line in 5 second. Calculate the acceleration of the car ? *​

Answer 1

Anѕwєr :

2 m/s²

Explαnαtion :

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

• Initial velocity, u = 0 m/s
• Acceleration is uniform.
• Distance covered, s = 25 m
• Time taken, t = 5 seconds

We've been asked to calculate acceleration of the car.

Here we have the values of u, s and t also the acceleration is uniform. So, we can use the 2nd equation of motion to calculate the acceleration of the car.

$\bigstar \quad\underline{\boxed{ \bf { s = ut + \dfrac{1}{2}at^2 }}}$

$\dashrightarrow \quad \rm {25 = 0(5) + \dfrac{1}{2} \times a \times (5)^2 }$

$\dashrightarrow \quad \rm {25 = \dfrac{1}{2} \times a \times 25 }$

$\dashrightarrow \quad \rm {25 \times 2 = 1 \times a \times 25 }$

$\dashrightarrow \quad \rm {50 = 25a }$

$\dashrightarrow \quad \rm {\cancel{\dfrac{50}{25}} = a }$

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

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

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Learn More:

• Acceleration is the rate of change in velocity.
• It is a vector quantity.
• Its SI unit is m/s².
• Negative acceleration is called retardation.

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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