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

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To find the velocity at half the distance under constant acceleration, the relevant formula is derived from the equations of motion, specifically relating initial velocity (Vo), final velocity (V), displacement, and acceleration (a). Given Vo as 1 m/s and V as 7 m/s, the average velocity during the entire distance can be calculated as (Vo + V) / 2, which equals 4 m/s. The total distance can be expressed in terms of acceleration and the change in velocity. By applying the principles of kinematics, the velocity at half the distance can be determined as 4 m/s, assuming uniform acceleration throughout the motion. This approach effectively illustrates the relationship between velocity, distance, and acceleration in motion.
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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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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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