A body moving in a straight line with constant accelaration

AI Thread Summary
A body moving in a straight line with constant acceleration covers two successive distances of 1 meter in 3 seconds and 5 seconds. The problem can be approached by using the equation for distance, which incorporates initial velocity and acceleration. By setting up equations based on the distances covered in the specified time intervals, one can solve for the initial velocity and acceleration. The discussion emphasizes that the problem is straightforward once the correct approach is taken. The solution hinges on properly applying the kinematic equations for uniformly accelerated motion.
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Homework Statement


A body moving in a straight line with constant accelaration takes 3 seconds and 5 seconds to cover two successive distances of 1m.Find the accelaration?


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The Attempt at a Solution



 
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Constant Acceleration. Hint is in the question.
 


i didnt get u
 


Hmm, seems impossible without more information (i.e. initial or final velocity). Did you copy the question down properly?
 


question is right
 


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 vt+ (1/2)at^2. 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.
 


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 vt+ (1/2)at^2. 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.

So simple, nice one.
 
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