Question

the position of a body moving along a straight line is given by X is equals to 12t - 8t square its velocity is given by​

Answer 1

Answer:

75

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Answer 2

Concept:

The velocity can be defined as the rate of change of displacement and also, as the derivative of the displacement.

v = dx/dt

where v is the velocity, x is the displacement and t is the time.

Given:

The displacement function,

x = 12t - 8t²

Find:

The velocity of the body.

Solution:

Velocity can be written as the derivative of the displacement function, x  = 12t - 8t²,

v = dx/dt

v = (12t - 8t²)/dt = 12 - 16t

Differentiation is done using the formula,

dxⁿ/dx = nxⁿ⁻¹

Hence, the velocity of the body having displacement function x = 12t - 8t² is  12 - 16t.

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