Science, asked by Bapan74, 8 months ago

a bus decreases its speed from 80 kilometre per hour to 60 km per hour in 5 second find the acceleration of the bus

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Answered by Anonymous

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Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{ - 1.11 \: m {s}^{ - 2} }$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

initial speed of the bus, u = 80 km/h = $\large{ \frac{200}{9} m/s}$

final speed of the bus, v = 60 km/h = $\large{ \frac{150}{9} m/s}$

time taken, t = 5 s.

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

Acceleration of the bus.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

$\rightarrow$ Rate of change of velocity.

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

As per formula,

Acceleration,

$\large{a = \frac{v - u}{t} }$

$\large{ \: \: \: \: = \frac{ \frac{200}{9} m {s}^{ - 1} - \frac{150}{9} m {s}^{ - 1} }{5 \: s} }$

$\large{ \: \: \: \: = \frac{(150 - 200) \: m {s}^{ - 1} }{9 \times 5 \: s} }$

$\large{ \: \: \: \: = \frac{ - 50}{9 \times 5} m {s}^{ - 2} }$

$\large{ \: \: \: \: = - \frac{10 \times 5}{9 \times 5} m {s}^{ - 2} }$

$\large{ \: \: \: \: = - \frac{10 \times 1}{9 \times 1} m {s}^{ - 2} }$

$\large{ \: \: \: \: = - 1.11 \: m {s}^{ - 2} }$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

acceleration, a = $- 1.11 \: m {s}^{ - 2}$ , there is negative ( - ) sign because the acceleration is to slow down the speed of the bus.

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a bus decreases its speed from 80 kilometre per hour to 60 km per hour in 5 second find the acceleration of the bus