Physics, asked by deep558739, 7 months ago

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Answered by sanyachoudhary81
0

Answer:

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Answered by AbdulHafeezAhmed
1

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Now, x= \frac{t^3}{3} - \frac{5t^2}{2} + 6t + 1

differentiating x with respect to t,

\frac{dx}{dt} = t² - 5t + 6

as \frac{dx}{dt} =0

\frac{dx}{dt} = t² - 3t - 2t +6 = 0

\frac{dx}{dt} = t(t-3) -2(t-3)

\frac{dx}{dt} = (t-2)(t-3)

t = 2, 3

now, again differentiating,

\frac{d^2x}{dt^2} = 2t -5

if we substitute t= 2,

2(2) - 5 = 4-5= -1

if we substitute t = 3

2(3) - 5 = 6 - 5 = 1

So, the answer is ±1

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