Question

A body starts from rest and acquires a velocity of 18 km/h in 10 s. The acceleration of the body is​

Answer 1

Given :

• A body starts from rest and acquires a velocity of 18 km/h in 10 s.

To Find :

• Acceleration of the body .

Solution :

$\longmapsto\tt{Initial\:Velocity=0\:m/s}$

$\longmapsto\tt{Final\:Velocity=18\:km/hr=5\:m/s}$

$\longmapsto\tt{Time\:Taken=10\:sec}$

Using Formula :

$\longmapsto\tt\boxed{Acceleration=\dfrac{v-u}{t}}$

Putting Values :

$\longmapsto\tt{\dfrac{5-0}{10}}$

$\longmapsto\tt{\cancel\dfrac{5}{10}}$

$\longmapsto\tt{\cancel\dfrac{1}{2}}$

$\longmapsto\tt\bf{0.5\:{m/s}^{2}}$

_____________________

Acceleration :

• It is defined as the rate of change of velocity of the object .

Formula of Acceleration is :-

$\longrightarrow\tt{Acceleration=\dfrac{v-u}{t}}$

Here :

• v = Final Velocity
• u = Initial Velocity
• t = time taken

_____________________

Answer 2

Answer:

Given :-

• A body starts from rest and acquires a velocity of 18 km/h in 10 seconds.

To Find :-

• What is the acceleration of the body.

Formula Used :-

$\clubsuit$ First Equation Of Motion Formula :

$\mapsto \sf\boxed{\bold{\pink{v =\: u + at}}}$

where,

• v = Final Velocity
• u = Initial Velocity
• a = Acceleration
• t = Time

Solution :-

First, we have to convert final velocity km/h into m/s :

$\implies \sf Final\: Velocity =\: 18\: km/h$

$\implies \sf Final\: Velocity =\: 18 \times \dfrac{5}{18}\: m/s\: \: \bigg\lgroup \sf\bold{\pink{1\: km/h =\: \dfrac{5}{18}\: m/s}}\bigg\rgroup$

$\implies \sf Final\: Velocity =\: {\cancel{18}} \times \dfrac{5}{\cancel{18}}\: m/s$

$\implies \sf\bold{\purple{Final\: Velocity =\: 5\: m/s}}$

Given :

$\bigstar\: \: \rm{\bold{Final\: Velocity (v) =\: 5\: m/s}}$

$\bigstar\: \: \rm{\bold{Initial\: Velocity (u) =\: 0\: m/s}}$

$\bigstar\: \: \rm{\bold{Time (t) =\: 10\: seconds}}$

According to the question by using the formula we get,

$\longrightarrow \sf 5 =\: 0 + a(10)$

$\longrightarrow \sf 5 =\: 0 + 10a$

$\longrightarrow \sf 5 - 0 =\: 10a$

$\longrightarrow \sf 5 =\: 10a$

$\longrightarrow \sf \dfrac{5}{10} =\: a$

$\longrightarrow \sf 0.5 =\: a$

$\longrightarrow \sf\bold{\red{a =\: 0.5\: m/s^2}}$

$\therefore$ The acceleration of the body is 0.5 m/s².