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anjali SHARMA Grade: 12
        

 


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

7 years ago

Answers : (1)

dev bhatnagar
8 Points
										

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

7 years ago
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