Question

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${\sf{\huge{\underline{\orange{Question :}}}}}$
A bus decreases it's speed from 80 km h -1 to 60 km -1 in 5s.Find the acceleration of bus.

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Answer 1

Acceleration-final velocity -initial velocity

Time

12

4.0

Here,

Final velocity (v) =60km/h = 16.6 m/s Initial velocity (u) = 80km/h = 22.2m/s

Time = 5seconds

Acc. 16.6-22.2/5

Acc. = -1.12 m/s²

Acceleration will be -1.12m/s²

Answer 2

${\Large{\sf{\underline{\red{ Given :}}}}}$

A bus decreases it's speed from 80 km h -1 to 60 km -1 in 5s.

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${\Large{\sf{\underline{\orange{ To Find : }}}}}$

Find the acceleration of the bus.

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${\large{\sf{\underline{\blue{ Formula Used :}}}}}$

$v = \frac{km \times 1000}{60 \times 60}$

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

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${\Large{\sf{\underline{\green{ Solution :}}}}}$

Convert km in m/s.

$u = {80 \: km \: h}^{ - 1}$

$u = \frac{80 \times 1000}{60 \times 60}$

$u = {22.22 \: m \: s}^{ - 1}$

$v = 60 \: km \: {h}^{ - 1}$

$v = \frac{60 \times 1000}{60 \times 60}$

$v = 16.7m \: {s}^{ - 1}$

Next,

Find the acceleration.

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

$a = \frac{16.7 - 22.2}{5} = \frac{ - 5.5}{5}$

$a = 1.1 \: m \: {s}^{ - 1}$

Hence,

${\sf{\boxed{\red{ a = { - 1.1 \: ms \: s}^{ - 1} }}}}$

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