A vehicle accelerates from rest to 80 km/h in 20 seconds. Determine the distance travelled during this time period.

Equation of motion: These are the mathematical equations used to find the final velocity, displacements, time, and so on of a moving object without taking into account the force acting on it.

Initial velocity= u = 0 m/s, 

Final velocity = v = 80 kmph = 22.22 m/s, 

Time taken = t = 20 s

Distance travelled, s = ?

By the first equation of motion, we have

v = u+at

22.22 = 0 + a x 20

$\mathrm{a}=\frac{22.22}{20}=1.11 \mathrm{m}/{\mathrm{s}}^2$

acceleration = 1.11 m/s²

By the second equation of motion    

$\mathrm{s}=\mathrm{ut}+\frac{1}{2}{\mathrm{at}}^2$

    $=0\times 20+\frac{1}{2}\times 1.11\times {20}^2$

      = 0 + 242 

       = 242 m

Distance Travelled = 242 m