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Vishrant Vasavada Grade: 11
        The relation between time t and distance x is t = ax^2 + bx, where a and b are positive constants. Its acceleration is?
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Vishrant


t = ax^2 + bx


differentiate w.r.t t


1= 2ax dx/dt + b dx/dt


1= (2ax+b)dx/dt


dx/dt = 1/(2ax+b)


again differentiate


d2x/dt2 = -1/(2ax+b)2  (2adx/dt)


 a= -1/(2ax+b)2   * 2a/(2ax+b)


 a = -2a/(2ax+b)3


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7 years ago
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