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

AI Thread Summary
To calculate the acceleration and initial speed of an object moving with constant acceleration over two equal segments, the first segment of 13 m is covered in 1.2 seconds, and the second in 2.2 seconds. The initial speed (V1) is calculated as 10.83 m/s, while the final speed (V2) is 5.91 m/s. The average speed (Vav) is determined to be 7.6 m/s. Using the average speed and the total time of 3.4 seconds, the acceleration is found to be 2.24 m/s². This method effectively applies kinematic equations to solve for the desired values.
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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
Vav = (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
Vav = (2x10.83 x 5.91)/10.83 + 5.91 = 7.6
acceleration = 7.6 / 3.4
= 2.24 m/s2
 
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