The velocity of an object under constant acceleration can be modeled using the following function: $\quad v ( t ) = v _ { 0 } + a t$
where $v =$ velocity
$v _ { 0 } =$ initial velocity
$a =$ acceleration
$t =$ time Which type of mathematical model is used to describe velocity in this application?
A) Linear model
B) Nonlinear model
C) Exponential model
D) Logarithmic model

Question

Quizplus · Accepted Answer

The equation $v(t) = v_0 + at$ is a linear model because it describes a straight line with slope $a$ and y-intercept $v_0$ when plotted on a graph with $v$ on the y-axis and $t$ on the x-axis.

The Velocity of an Object Under Constant Acceleration Can Be v(t)=v0+at\quad v ( t ) = v _ { 0 } + a tv(t)=v0​+at

The Velocity of an Object Under Constant Acceleration Can Be $\quad v ( t ) = v _ { 0 } + a t$