Question

(a) Write the formula for acceleration. Give the meaning of each symbol which occurs in it.
(b) A train starting from Railway Station attains a speed of 21 m/s in one minute. Find its acceleration.

Answer 1

$\Huge{\underline{\underline{\mathfrak{Answer \colon}}}}$

Acceleration

The rate of change of velocity per unit time is known as Acceleration

Acceleration of an object is given by:

$\huge{ \boxed{ \boxed{ \rm{a = \frac{v - u}{t} }}}}$

Here,

• a 》 Acceleration

• v 》 Final Velocity

• u 》 Initial Velocity

• t 》 Time taken

From the Question,

• Final Velocity,v = 21 m/s

• Initial Velocity,u = 0 m/s

• Time,t = 1 min = 60 sec

Putting the values,we get:

$\sf{a = \frac{21 - 0}{60} } \\ \\ \rightarrow \: \sf{a = \frac{21}{60} } \\ \\ \huge{ \rightarrow \: \sf{a = 0.35 \: ms {}^{ 2} }}$

Answer 2

$\huge\bigstar\underline\mathfrak\red{Acceleration}$

$\bold{Firstly,\:What\:is\:acceleration?}$

=> Acceleration is defined as the rate of change of velocity. Its S.I unit is m/s².

$\bold{Formula-}$

$a$ = $\dfrac{v-u}{t}$

Where, a is acceleration

v is final velocity

u is initial velocity

t is time taken.

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$\underline\bold\blue{Question-}$

A train starting from Railway Station attains a speed of 21 m/s in one minute. Find its acceleration.

$\underline\bold\blue{Solution-}$

Given :

• initial velocity (u) = 0 m/s { starts from rest }

• final velocity (v) = 21 m/s

• time taken (t) = 1 min = 60 s

To find :

• its acceleration

Solution :

We know that,

$a$ = $\dfrac{v-u}{t}$

put the given values :

=> $a$ = $\dfrac{21-0}{60}$

=> $a$ = $\dfrac{21}{60}$

=> $a$ = 0.35 m/s² ( required answer )

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