Question

An object changes its velocity from 30m/s to 40m/s in a time interval of 2 sec. what is its acceleration?
plz help me with this question​

Answer 1

⇝ Given :-

• An object changes its velocity from 30m/s to 40m/s in a time interval of 2 sec

⇝ To Find :-

• Acceleration of the Object.

⇝ Solution :-

We Have ,

• Initial Velocity = u = 30 m/s

• Final Velocity = v = 40 m/s

• Time Taken = t = 2 s.

• Let Acceleration of car be = a m/s².

★ We Have 1st Equation of Motion as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ v = u + at }}}$

⏩ Putting Given Values :

$:\longmapsto \rm 40 = 30 + a \times 2$

$:\longmapsto \rm 2a = 40 - 30$

$:\longmapsto \rm 2a = 10$

$:\longmapsto \rm a = \cancel\frac{10}{2}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf a = 5} }}}$

Hence,

$\Large\underline{\pink{\underline{\frak{\pmb{\text Acceleration = 5 \: m/ {s}^{2} }}}}}$

⇝ Additional Information :-

Three Equations of Motion :

$\large \qquad \boxed{\boxed{\begin{array}{cc} \maltese \: \: \bf v = u + at \\ \\ \maltese \: \: \bf s = ut + \dfrac{1}{2}a {t}^{2} \\ \\ \maltese \: \: \bf{v}^{2} - {u}^{2} = 2as\end{array}}}$

Answer 2

Answer:

Given :-

• An object change its velocity from 30 m/s to 40 m/s in a time interval of 2 seconds.

To Find :-

• What is the acceleration of an object.

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 Taken

Solution :-

Given :

• Final Velocity (v) = 40 m/s
• Initial Velocity (u) = 30 m/s
• Time Taken (t) = 2 seconds

According to the question by using the formula we get,

$\longrightarrow \bf v =\: u + at$

$\longrightarrow \sf \dfrac{v - u}{t} =\: a$

$\footnotesize\bigstar\: \: \sf\bold{\purple{Acceleration =\: \dfrac{(Final\: Velocity - Initial\: Velocity)}{Time\: Taken}}}\: \: \bigstar$

$\longrightarrow \sf Acceleration =\: \dfrac{(40 - 30)}{2}$

$\longrightarrow \sf Acceleration =\: \dfrac{\cancel{10}}{\cancel{2}}$

$\longrightarrow \sf Acceleration =\: \dfrac{5}{1}$

$\longrightarrow \sf\bold{\red{Acceleration =\: 5\: m/s^2}}$

${\small{\bold{\underline{\therefore\: The\: acceleration\: of\: an\: object\: is\: 5\: m/s^2\: .}}}}$