Question

(a) If an object travels along a line with constant velocity −24 ms, then the general formula for the position of the object is______________.

Answer 1

Mathematically we know that the position is the integral of the velocity as a function of time, that is, the general formula for determining the position as a function of velocity would be given by

$x(t) = x_0 +\int_0^t vdt$

Here

$x_0$ represents the initial position, and the integral, the position with respect to the speed of the object within a certain time

Replacing and considering that there is no starting position,

$v(t) = -24$

$x (t) = -24 \int dt$

$x(t) = -24t+C$