What is the Velocity at Half the Distance with Constant Acceleration?

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SUMMARY

The discussion focuses on calculating the velocity of a body at half the distance traveled under constant acceleration. Given an initial velocity (Vo) of 1 m/s and a final velocity (V) of 7 m/s, the relevant formula to determine the velocity at half the distance involves the concepts of displacement and acceleration. The derived formula is V_half = √(Vo² + (V² - Vo²)/2), which provides a definitive method for solving the problem without considering time.

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A body starts moving with velocity Vo and constant acceleration a. After moving a certain distance, it attains a velocity of V. What is its velocity as it moves half the distance?

Vo = 1m/s
V = 7m/s
 
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Start this way:

find the formula that relates initial velocity, final velocity, displacement, and acceleration. (Time is NOT a concern in this problem because a) it will not be constant and b) it is neither given nor asked for in the problem.)
 

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