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If x = 3t^2 4t^3 4 then find the value of v and a ( through differentiation )?
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If x = 3t^2 4t^3 4 then find the value of v and a ( through differ...
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If x = 3t^2 4t^3 4 then find the value of v and a ( through differ...
Given:

x = 3t2 + 4t3 + 4


To find:

Velocity (v) and Acceleration (a) of the given function through differentiation


Solution:

Step 1: Differentiate x with respect to t to get velocity (v)

v = dx/dt

v = 6t + 12t2

v = 6t(2 + t)


Step 2: Differentiate v with respect to t to get acceleration (a)

a = dv/dt

a = 6 + 24t


Final Answer:

Velocity (v) = 6t(2 + t)

Acceleration (a) = 6 + 24t
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If x = 3t^2 4t^3 4 then find the value of v and a ( through differentiation )?
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