Though expressed in coordinate form, this is an example of linear motion. With the given, the acceleration can be solved using the following equation:
s = Vo*t + (1/2)*a*t^2
Where:
s = displacement = 7.85 cm
Vo = 14.0 cm/s
t = 3.15 s
a = ?
Substituting:
7.85 = (14)*(3.15) + (1/2)*a*(3.15)^2
a = -7.31 cm / s^2
