Answer:
[tex] \boxed{\sf Distance \ travelled = 72 \ m} [/tex]
Given:
Initial velocity (u) = 0 m/s (Starts from rest)
Final velocity (v) = 24 m/s
Time taken (t) = 6 seconds
To Find:
Distance travelled by car (s)
Explanation:
From equation of motion of object moving with uniform acceleration in straight line we have:
[tex] \boxed{ \bold{s = (\frac{v + u}{2} )t}}[/tex]
By substituting value of v, u & t in the equation we get:
[tex] \sf \implies s = ( \frac{24 + 0}{2} ) \times 6 \\ \\ \sf \implies s = \frac{24}{2} \times 6 \\ \\ \sf \implies s = 12 \times 6 \\ \\ \sf \implies s = 72 \: m[/tex]
[tex] \therefore[/tex]
Distance travelled by car (s) = 72 m