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The relation between time t and distance x is t = ax2 + bx where a and b are constants. The acceleration is ?
t = ax2 + bx
=> 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
Thanks
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