A glider on an air track moves in the +x direction with a constant acceleration. It has two flags, each exactly 25.4 mm long, with the midpoints of the flags separated by 162 mm. The first flag interrupts the photogate timer for a time 50 ms, and the second flag interrupts the photogate timer for a time 45 ms. 1. What was the average velocity of the glider during the interval when the first flag was interrupted? 2. What was the average velocity of the glider during the interval when the second flag was interrupted?

1 The average velocity for first interruption  is  

2 The average velocity for second interruption is  

Explanation:

From the question we are told that

     The length of each  the flags is  

      The distance of separation at the mid-point  

        The interruption time for  the first flag is  

         The interruption time for  the second flag is    

The Initial velocity for this motion is obtained mathematically as

L is the distance traveled because the photogate timer measure time at that particular distance

      Substituting value  

The final velocity is mathematically evaluated as

Substituting value  

good for her? ? where is the question?

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.