4. Simplify using DMAS Rule - a. 12 - 15 = 3 + 2 x 4
Answers
Answer:
⇝ Given :-
A car start from rest and acquire a velocity of 72km/h in 20 second.
⇝ To Find :-
Acceleration of the Car.
Distance Traveled By the Car.
⇝ Solution :-
❒ Converting Final Velocity in m/s :
We Have,
\begin{gathered} \text{Final Velocity = 72 km/h} \\ \end{gathered}
Final Velocity = 72 km/h
\begin{gathered} = \bigg(72 \times \frac{5}{18} \bigg) \text{m/s} \\ \end{gathered}
=(72×
18
5
)m/s
\red{:\longmapsto \text{Final Velocity = 20 \: m/s}}:⟼Final Velocity = 20 m/s
Here,
Initial Velocity = u = 0 m/s
Final Velocity = v = 20 m/s
Time Taken = t = 20 s
1 》 Calculating Acceleration :-)
Let Acceleration of Bus 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
⏩ Applying 1st Equation of Motion ;
\begin{gathered}:\longmapsto20 = 0 + \text a \times 20 \\ \end{gathered}
:⟼20=0+a×20
\begin{gathered}:\longmapsto20\text a = 20 \\ \end{gathered}
:⟼20a=20
\begin{gathered}:\longmapsto\text a = \cancel \frac{20}{20} \\ \end{gathered}
:⟼a=
20
20
\begin{gathered}\purple{ \Large :\longmapsto \underline {\boxed{{\bf a = 1\:m/s² } }}} \\ \end{gathered}
:⟼
a=1m/s²
Hence,
\large\underline{\pink{\underline{\frak{\pmb{\text Acceleration = 1 \: m/s {}^{2} }}}}}
Acceleration=1m/s
2
Acceleration=1m/s
2
2 》Calculating Distance Traveled :-)
❒ We Have 2nd Equation of Motion as :
\begin{gathered}\large \bf \red \bigstar \: \: \orange{ \underbrace{ \underline{s=ut+\dfrac{1}{2}at^2}}} \\ \end{gathered}
★
s=ut+
2
1
at
2
⏩ Applying 2nd Equation of Motion
\begin{gathered} :\longmapsto\text{s} = 0 + \frac{1}{2} \times 1 \times {20}^{2} \\ \end{gathered}
:⟼s=0+
2
1
×1×20
2
\begin{gathered}:\longmapsto\text{s} = \cancel\frac{400}{2} \\ \end{gathered}
:⟼s=
2
400
\purple{ \Large :\longmapsto \underline {\boxed{{\bf s = 200 \: m} }}}:⟼
s=200m
Hence,
\large\underline{\pink{\underline{\frak{\pmb{\text Distance \:\text Traveled = 200\: m }}}}}
DistanceTraveled=200m
DistanceTraveled=200m
Answer:
Step-by-step explanation:12 divide 3 + 12 - 5 x 4