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  4. A body starts with initial velocity u and moves with uniform acceleration when the velocity has increased to 5u, the acceleration is reversed in direction, the magnitude remaining constant. The velocity when it returns to starting point

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Q. A body starts with initial velocity $u$ and moves with uniform acceleration when the velocity has increased to $5u$, the acceleration is reversed in direction, the magnitude remaining constant. The velocity when it returns to starting point

Motion in a Straight Line

Solution:

$\frac{(5 u)^{2}-v^{2}}{v^{2}-(5 u)^{2}}=\frac{2 a s}{2 a s}$
$v=7 u, \bar{v}=-7 u$