Answer :

The speed of car is 100.8km/h

[tex]KE = \frac{1}{2} m(v \: truck ) {}^{2} [/tex]

[tex] = 0.5 \times 18777 \times \frac{26}{3.6} \times \frac{26}{3.6} [/tex]

[tex] = 489708.79j[/tex]

[tex] = \frac{1}{2} \times 1248 \times( v \: car) {}^{2} [/tex]

[tex] = 624v {}^{2} [/tex]

[tex]so \: v {}^{2} = \frac{489708.7}{624} [/tex]

[tex] = 784[/tex]

[tex]v = \sqrt{784} [/tex]

[tex]v = 28m/s[/tex]

v car= 28×3.6

=100.8km/h

Hence, the speed of the car is 100.8km/h

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