Question

The position of an object with respect to time, moving along the x-axis is given by x = b t3. Calculate the acceleration of the object if b = 3 m/s3.

Answer 1

The acceleration of the object measured in
`(m)/(s^(2))`, as a function of time is equal to:

`a = 18\cdot t`

Step-by-step explanation:

The acceleration function is obtained by deriving position function twice:

`a = (dv)/(dt) = (d^(2)x)/(dt^(2))`

`x = 3\cdot t^(3)`

`v = 9 \cdot t^(2)`

`a = 18\cdot t`

The acceleration of the object, measured in
`(m)/(s^(2))`, as a function of time is equal to:

`a = 18\cdot t`