A particle starting from rest travels with constant acceleration. If it takes 5.0 s to reach a speed of 18.0 km/h , determine the distance travelled by the particle during this period in m.

Step-by-step solution

Initial velocity, u = 0 Final velocity, v = 18.0 km/h = 18.0 5 18 m/s = 5.0 m/s Time taken, t = 5.0 s Using the first equation of motion, v = u + at 5.0 = 0 + a(5.0) a = 1.0 m/s ^2 Using the second equation of motion, s = ut + 1 2 at^2 s = 0 + 1 2 (1.0)(5.0)^2 s = 25.0 2 = 12.5 m