Question

A car initially was at rest and increased its velocity to 8 ms⁻¹ in 80 s. Find the acceleration ?​

Answer 1

$\bigstar$ Given

A car initially was at rest and increased its velocity to 8 ms⁻¹ in 80 s

$\bigstar$ To Find

The acceleration

$\bigstar$ Solution

We know that

Equation of Motion​

$\red{\rm \longrightarrow v=u+at}$

Here

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

According to the question

We are asked to find the acceleration

Therefore

We must find "a"

Given that

A car initially was at rest and increased its velocity to 8 ms⁻¹ in 80 s

Hence

• u = 0 ms⁻¹ [initially at rest]
• v = 8 ms⁻¹
• t = 80 s

Substituting the values

We get

$\blue{\rm \longrightarrow 8=0+(a \times 80)}$

$\green{\rm \longrightarrow 8=80a}$

$\purple{\rm \longrightarrow 80a=8}$

$\orange{\rm \longrightarrow a=\dfrac{8}{80} \ ms^{-2}}$

Hence

$\pink{\rm \longrightarrow a=0.1 \ ms^{-2}}$

Therefore

$\checkmark$ Acceleration = 0.1 ms⁻²

Answer 2

Given

• A car initially was at rest and increased its velocity to 8 ms⁻¹ in 80 s.

We Find

• Acceleration of car

We Used

Equation of Motion

= v = u + at

According to the question

$= v = u + at\\ \\⟶8=0+(a \times 80) \\ \\ </p><p></p><p>⟶8=80a \\ \\ </p><p>⟶80a=8 \\ \\ </p><p></p><p>⟶a=808 ms⁻²  \\ \\ </p><p></p><p>so.\\ \\ </p><p></p><p>⟶a=0.1 ms⁻² \\ \\ </p><p></p><p>$

So, Acceleration is 0.1 ms⁻².