How much time does it take the automobile to overtake the truck?

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Solution

Let the automobile overtakes the truck after time $t$
Initial velocity of the truck $u = 0 m / s$
Distance covered by the truck $d = 60$ m
For truck : $d = u t + \frac{1}{2} a_{T} t^{2}$
$∴$ $60 = 0 + \frac{1}{2} \times 2.5 t^{2}$ $⟹ t = \sqrt{48} = 6.93$ s

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How much time does it take the automobile to overtake the truck?

Let the automobile overtakes the truck after time tInitial velocity of the truck u=0m/sDistance covered by the truck d=60 mFor truck : d=ut+12aTt2∴ 60=0+12×2.5t2 ⟹t=√48=6.93 s

Let the automobile overtakes the truck after time $t$
Initial velocity of the truck $u = 0 m / s$
Distance covered by the truck $d = 60$ m
For truck : $d = u t + \frac{1}{2} a_{T} t^{2}$
$∴$ $60 = 0 + \frac{1}{2} \times 2.5 t^{2}$ $⟹ t = \sqrt{48} = 6.93$ s