How Do You Calculate Acceleration and Initial Speed from Segment Times?

[osamie]

Homework Statement

An object moving along a straight line, at constant acceleration covers two equal, consecutive, 13 m long segments, the first one in t 1 = 1.2 s and the second one in t 2 = 2.2 s . What was the magnitude of acceleration? (in m/s²) ,
And what is the speed of the object (m/s) at the beginning of the first segment?

Homework Equations

V=(D/T)
if D/2 at V₁, D/2 at V₂, then
V_av = (2V₁.V₂)/V₁+V₂
acceleration = velocity/time

The Attempt at a Solution

V₁ = 13/1.2 = 10.83 m/s
V₂ = 13/2.2 = 5.91m/s
V_av = (2x10.83 x 5.91)/10.83 + 5.91 = 7.6
acceleration = 7.6 / 3.4
= 2.24 m/s²

 

[Garicup]

i have a similar problem...anyone help?