Question

the acceleration of a particle that moves on a vertical straight line is given by the equation

a= 12t-20

it is known that its displacement is s = -10 m at time t = 0 seconds and that its displacement is s = +10 m at t = 5 seconds. Determine the equation of your movement s = f (t)

Answer 1

integrate the acceleration with respect to time two times and for the constants of integration use the given info.

\(\large\frac{d^2x}{dt^2}=a\)