The problem involves a body moving in a straight line with constant acceleration, specifically focusing on the time taken to cover two successive distances of 1 meter. The goal is to find the acceleration based on the given time intervals of 3 seconds and 5 seconds.
The discussion is ongoing, with some participants providing potential approaches to set up equations, while others are questioning the completeness of the information provided. There is no explicit consensus on how to proceed, but several lines of reasoning are being explored.
There is a noted concern regarding the accuracy of the problem statement, with participants questioning whether all necessary details have been included.
HallsofIvy said:It looks straight forward to me. Take the initial speed to be v and acceleration to be a. Take t= 0 at the beginning of the first second in which the object goes 3 feet.
The distance such an object covers is t seconds is [itex]vt+ (1/2)at^2[/itex]. In one second, it will have gone distance v+ (1/2)a. In two seconds it will have gone distance 2v+ 2a. What distance did it go the second second? Set those equal to 3 and 5 and you have two equations to solve for v and a.