for a body traveling with uniform acceleration its final velocity is
where x is distance traveled by the body,then acceleration is
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Explanation:
Given v= velocity,
t = time,
a = acceleration
x = Distance
a = dv / dt
dv / dt = dv / dx ÷ dt /dx = dx / dt × dv / dx
dx / dt = v
Therefore :
dv / dt = v. dv / dx
dv / dx of √(180 - 7x) = - 7×{ 1/ 2√(180 - 7x)}
dv / dt = √(180 - 7x) × ( - 3.5 /(√(180 - 7x))
Thus equals to : - 3.5
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