Question

show that s = ut + at^2/2

please answer fast​

Answer 1

Answer:

Displacement is the integral of velocity with respect to time:

s=∫vdt

Substitute v=u+at into the integral:

ss=∫(u+at)dt=∫udt+∫atdt=ut+a∫tdt=ut+1/2at^2+C

When t=0 , s=0∴C=0 , so our equation reduces to

s=ut+1/2at^2