A bus starts with an initial speed of 30km/hr and increases its speed by 6km/hr every hour. How long will it take to cover a distance 693km?
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here,
distance (s )=693 km
initial speed (u)=30 km/hr
accelerate with 6 km /hr
so,
a=6 km /hr
t=?
s=ut +1/2at^2
693=30t+1/2×6t^2
693=30 t +3t^2
-3t^2+30t+693=0
3 (-t^2+10t+231)=0
-t^2+10t+231=0
after solving this quadratic equation we get value of t
t=-11 and t=21
time is always +ve
so answer is
t=21 hrs
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