Back to tasks

Particle Coordinate, Velocity, and Acceleration

kin-point-xva-quadratic-en

0%
progress
0%
score

A particle moves along a straight line according to

$$x(t)=-5+5t+-1t^2,$$

where $x$ is measured in metres and $t$ in seconds. At $t=4$ s, determine the particle coordinate, the velocity component, and the acceleration component.

Enter the three kinematic quantities
$x$, m
$v_x$, m/s
$a_x$, m/s²

This is a demonstration task — it isn't graded here. Add your own copy and it will appear under "My personal course" on the student page.

About this task

A parameterized particle kinematics problem based on a straight-line equation of motion x(t). Differentiate the position function and determine the particle coordinate, velocity component, and acceleration component at the generated time.