Find the position function s(t) of a particle in motion if it is known that:

Question

Find the position function s(t) of a particle in motion if it is known that:

1. the particle's acceleration is constant with a(t)=-8 m/s²
2. the velocity of the particle at time t=2 is: -13 m/s
3. the position of the particle at time t=3 is: 12 m

s(t) =

Answer 1

a=-8 m/s^2

v=- 8t+3 m/s

v(2)=-13

s(t)= -4t^2+3t +c

s(3)=12= -36 +9+c

c= 12+36-9=39

s(t)=-4t^2 +3t+39 m