Question

# A bus decreases its speed from $80km{h}^{-1}$ to $60km{h}^{-1}$ in $5s$, find the acceleration of the bus.

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Solution

## Step 1: Given dataInitial velocity, $u=80km{h}^{-1}=22.2m{s}^{-1}$Final velocity, $v=60km{h}^{-1}=16.7m{s}^{-1}$Time, $t=5s$Step 2: Formula used$v=u+at$Where “a” is the acceleration.Step 3: Determine the accelerationUsing the first equation of motion,$v=u+at\phantom{\rule{0ex}{0ex}}16.7=22.2+a\left(5\right)\phantom{\rule{0ex}{0ex}}a=\frac{16.7-22.2}{5}\phantom{\rule{0ex}{0ex}}a=-1.1m{s}^{-2}$The value is negative as the bus is deceleratingTherefore, the acceleration of the bus is $-1.1m{s}^{-2}$

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