A body is moving according to the equation $x = at + b{t^2} - c{t^3}$ where $x = $ displacement and $a,\;b$ and $c$ are constants. The acceleration of the body is
$a + 2bt$
$2b + 6ct$
$2b - 6ct$
$3b - 6c{t^2}$
A body is moving according to the equation $x = at + b{t^2} - c{t^3}$ where $x = $ displacement and $a,\;b$ and $c$ are constants. The acceleration of the body is
$x = at + b{t^2} - c{t^3},\;a = \frac{{{d^2}x}}{{d{t^2}}} = 2b - 6ct$