Initial speed (u) = 0 m/s (Starts from rest)
Final speed (v) = 280 m/s
Acceleration (a) = 5.6 m/s²
By using equation of motion, we get:
[tex] \bf \longrightarrow {v}^{2} = {u}^{2} + 2as \\ \\ \rm \longrightarrow {280}^{2} = {0}^{2} + 2 \times 5.6 \times s \\ \\ \rm \longrightarrow 78400 = 11.2s \\ \\ \rm \longrightarrow 11.2s = 78400 \\ \\ \rm \longrightarrow s = \dfrac{78400}{11.2} \\ \\ \rm \longrightarrow s = 7000 \: m \\ \\ \rm \longrightarrow s = 7 \: km[/tex]
[tex] \therefore [/tex] Distance travelled by the car (s) = 7 km