Acceleration and displacement question?

AI Thread Summary
A turtle accelerates uniformly in a straight ditch, traveling 10 meters in 10 seconds to reach a pine tree, with a final speed of 1.2 m/s. The discussion highlights the need to use the correct kinematic equations to determine the initial distance from the fence post. The equation V^2 = V(initial)^2 + 2a(displacement) is referenced, but the initial velocity must be calculated based on the turtle's acceleration. Participants suggest solving for acceleration using the provided values and equations. The conversation emphasizes the importance of correctly applying kinematic principles to solve the problem.
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acceleration and displacement question?

a turtle is moving with a constant acceleration along a straight ditch. a person starts a stopwatch as the turtle passes a fence post and notes that it takes him 10s to reach a pine tree 10m farther along a ditch. as the turtle passes the pine tree, his speed is 1.2m/s.

how far was he from the fence post when he started from rest??
 
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we know this equation:
V^2 = V(initial)^2 + 2a(displacement)

V initial = 1.2-10a

I think you can solve the rest of the problem. There might be a nicer solution to this, but this is the best I got.
 


That's the wrong formula. You are not given a value for acceleration. You are given a value for time.
 


1.2^2 = (1.2-10a)^2 + 20a

Solve for a.
 
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