# Body moving with constant accelration over two equal segmants given time find accerla

1. Mar 28, 2012

### teddyayalew

1. The problem statement, all variables and given/known data
" 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 "

2. Relevant 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

3. The attempt at a solution
http://i40.tinypic.com/wmmdyx.jpg

I am having trouble eliminating the v(0).

2. Mar 28, 2012

### cepheid

Staff Emeritus
Re: Body moving with constant accelration over two equal segmants given time find acc

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.

3. Mar 29, 2012

### teddyayalew

Re: Body moving with constant accelration over two equal segmants given time find acc

Thank you cepheid I was able to solve the problem.