Science, asked by hskskskhdgdb, 1 month ago

Que- A bus increases its speed from 72 km/h to180 km/h in 10 seconds. Its acceleration is?

a} 6 metre per second square

a} 5 metre per second square

a} 3 metre per second square

a} 8 metre per second square​

Answers

Answered by hotcupid16
50

Given :

  • A bus increases its speed from 72 km/h to180 km/h in 10 seconds.

To Find :

  • Acceleration of the body .

Solution :

\longmapsto\tt{Initial\:Velocity=72\:km/hr=20\:m/s}

\longmapsto\tt{Final\:Velocity=180\:km/hr=50\:m/s}

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

Using Formula :

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

Putting Values :

\longmapsto\tt{\dfrac{50-20}{10}}

\longmapsto\tt{\dfrac{30}{10}}

\longmapsto\tt\bf{3\:{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

______

Answered by CᴀᴘᴛᴀìɴLᴇᴠí
0

{ \huge{ \underline{ \underline{ \orange{ \sf{Given :-}}}}}}

  • Initial velocity (u) = 72km/h × 5/18 = 20m/s
  • Final velocity (v) = 180km/h × 5/18 = 50m/s
  • Time (t) = 10s

{ \huge{ \underline{ \underline{ \blue{ \sf{ To \:  find:-}}}}}}

  • Acceleration (a) = ?

{ \huge{ \underline{ \underline{ \green{ \sf{Formula \:  used  \: here:-}}}}}}

\begin{gathered} \\ { \large{ \leadsto{ \red{ \boxed{ \sf{acceleration= \frac{final \: velocity - initial \: velocity}{time} }}}}}} \end{gathered}

\begin{gathered} \\ { \large{ \leadsto \: { \rm{A= \frac{v - u}{t} \:  \:  \:  \:   }}}} \\  \\  \large \leadsto \rm \: A = \frac{50 - 20}{10} \\  \\  \large \leadsto \rm \: A= \frac{30}{10} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  \\  \large \leadsto   \:  \: \rm \: A \:   =\frac{{3 \cancel{0}}}{{1 \cancel{0}}}  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  \\  \large \leadsto  \:   \:  \: { \pink{ \boxed { \mathfrak  { A =3ms {}^{ - 2}}}}} \:  \:  \end{gathered}

Therefore

  • The answer is 3m/s^2
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