assertion: executive makes the plan for the society. reason: plan making power to the executive is given by constitution.
Answers
Answer:
⇝ Given :-
A car is travelling at 20 km/h.
It speeds upto 60 km/h in 6 seconds.
⇝ To Find :-
The Acceleration of the Car.
⇝ Solution :-
❒ Converting Velocities in m/s ;
\begin{gathered} \rm Initial \: Velocity = 20 \: km/h \\ \end{gathered}
InitialVelocity=20km/h
\begin{gathered} = \rm\bigg(20 \times \frac{5}{18} \bigg)m/s \\ \end{gathered}
=(20×
18
5
)m/s
\begin{gathered} = \rm \bigg(\frac{100}{18} \bigg)m/s \\ \end{gathered}
=(
18
100
)m/s
\begin{gathered}:\longmapsto \red{ \rm Initial \: Velocity = 5.56 \: m/s } \\ \end{gathered}
:⟼InitialVelocity=5.56m/s
\begin{gathered} \rm Final \: Velocity = 60 \: km/h \\ \end{gathered}
FinalVelocity=60km/h
\begin{gathered} = \rm\bigg(60 \times \frac{5}{18} \bigg)m/s \\ \end{gathered}
=(60×
18
5
)m/s
\begin{gathered} = \rm \bigg(\frac{300}{18} \bigg)m/s \\ \end{gathered}
=(
18
300
)m/s
\begin{gathered}:\longmapsto \red{ \rm Final \: Velocity = 16.67 \: m/s } \\ \end{gathered}
:⟼FinalVelocity=16.67m/s
❒ Calculating Acceleration :-
We Have ,
Initial Velocity = u = 5.56 m/s
Final Velocity = v = 16.67 m/s
Time Taken = t = 6 s.
Let Acceleration of car be = a m/s².
★ We Have 1st Equation of Motion as :
\begin{gathered}\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ v = u + at }}} \\ \end{gathered}
★
v=u+at
⏩ Putting Given Values :
\begin{gathered}:\longmapsto \rm 16.67 = 5.56 + a \times 6 \\ \end{gathered}
:⟼16.67=5.56+a×6
\begin{gathered}:\longmapsto \rm 6a = 16.67 - 5.56 \\ \end{gathered}
:⟼6a=16.67−5.56
\begin{gathered}:\longmapsto \rm 6a = 11.11 \\ \end{gathered}
:⟼6a=11.11
\begin{gathered}:\longmapsto \rm a = \frac{11.11}{6} \\ \end{gathered}
:⟼a=
6
11.11
\begin{gathered}\purple{ \large :\longmapsto \underline {\boxed{{\bf a = 1.85 \: m/ {s}^{2} } }}} \\ \end{gathered}
:⟼
a=1.85m/s
2
Hence,
\Large\underline{\pink{\underline{\frak{\pmb{\text Acceleration = 1.85 \: m/ {s}^{2} }}}}}
Acceleration=1.85m/s
2
Acceleration=1.85m/s
2