The position of a particle along the $x$ axis is given by $x ( t ) = 16 t - 2 t ^ { 2 }$, where $t$ is in seconds and $x ( t )$ is in meters. The velocity of the particle at time $t = 4$ seconds is
A) 0 m/s.
B) 16 m/s.
C) 4 m/s.
D) 8 m/s.

Question

Quizplus · Accepted Answer

The velocity of the particle is found by taking the derivative of the position function $x(t) = 16t - 2t^2$ with respect to time $t$, which gives $v(t) = 16 - 4t$. Substituting $t = 4$ seconds into $v(t)$ gives $v(4) = 16 - 4(4) = 16 - 16 = 0$ m/s.

The Position of a Particle Along The xxx Axis Is Given By

The Position of a Particle Along The $x$ Axis Is Given By