The final velocity of the bus is 9.83 m/s
The given parameters;
initial velocity of the bus, = 30 km/h
constant increase in speed, = 1.5 m/s
time of motion, t = 6.8 s
The initial velocity of the bus in m/s;
[tex]v = 30 \frac{km}{h} \times \frac{1000 \ m}{1 \ km} \times \frac{1 \ h}{3600 \ s} = 8.33 \ m/s[/tex]
The acceleration of the bus;
[tex]a = \frac{\Delta v}{\Delta t} = \frac{1.5 \ m/s}{6.8 \ s } = 0.22 \ m/s^2[/tex]
The final velocity of the bus at the given time of motion;
[tex]v= u + at\\\\v = 8.33 + (0.22 \times 6.8)\\\\v = 9.83 \ m/s[/tex]
Thus, the final velocity of the bus is 9.83 m/s
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