How to Find Acceleration with Given Time Over Two Equal Segments?

[teddyayalew]

Homework Statement

" A body moving with constant acceleration travels consecutively over two equal 10m segments of its path S. Find the acceleration "a" of the body and its speed v(not) at the start of the first segment, if the first segment is traversed in t(1) = 1.06 seconds and the second in t(2) = 2.2 seconds "

Homework Equations

equations I have defined :
http://i41.tinypic.com/o5zwwn.jpg

I also know the acceleration is going to be negative since it takes longer for the body to cross the second segment of equal distance. The body is slowing down

The Attempt at a Solution

http://i40.tinypic.com/wmmdyx.jpg

I am having trouble eliminating the v(0).

 

[cepheid]

Homework Statement

" A body moving with constant acceleration travels consecutively over two equal 10m segments of its path S. Find the acceleration "a" of the body and its speed v(not) at the start of the first segment, if the first segment is traversed in t(1) = 1.06 seconds and the second in t(2) = 2.2 seconds "

Homework Equations

equations I have defined :
http://i41.tinypic.com/o5zwwn.jpg

I also know the acceleration is going to be negative since it takes longer for the body to cross the second segment of equal distance. The body is slowing down

The Attempt at a Solution

http://i40.tinypic.com/wmmdyx.jpg

I am having trouble eliminating the v(0).

Given the approach you've started with, I think the simplest thing to do would be to use your first equation (the one for S1) and use it to solve for v₀ in terms of known quantities:$$v_0 = \frac{S_1}{t_1} - \frac{at_1}{2}$$If you take this expression for v₀ and plug it into the second equation for S2, then you'll have an equation that contains only a, and other known quantities. You can then solve for a.

 

[teddyayalew]

Thank you cepheid I was able to solve the problem.