Relation between time and distance is t = ax^2 + bx where a and b are constant find retardation
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Differenceat it and we gate ans -a/ax+b
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if , t = ax^2+bx
then, differentiate both side with respect to time (t)
dt/dt = 2ax.dx/dt + b.dx/dt
1 = 2axv + bv
v(2ax + b) = 1
(2ax + b) = 1/v
Again differentiate both side with respect to time (t)
2a.dx/dt = -v^(-2)*dv/dt
2av = v^(-2)*acceleration
acceleration = -2av³
Hence,
retardation= 2av³ (ANS)
Explanation:
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