1. Vehicle Dynamics

Kinematics Review — Quiz

Test your understanding of kinematics review with 5 practice questions.

Practice Questions

Question 1

What is the instantaneous velocity of a vehicle whose position along a straight line is described by $x(t)=2t^3 -5t^2 +3t +10$ (m) at $t=2\ \mathrm{s}$?

Question 2

For a vehicle moving along the x-axis with position function $x(t)=t^3 -6t^2 +9t$ (m), at what times between $t=0$ and $t=5\\ \mathrm{s}$ does the vehicle momentarily come to rest?

Question 3

A vehicle moves in the plane with coordinates $x(t)=6t$ and $y(t)=8t$ (in meters). What are its constant speed and direction angle $\theta$ relative to the positive x-axis?

Question 4

A vehicle with initial velocity $v(0)=5\\ \mathrm{m/s}$ has acceleration $a(t)=3t\\ \mathrm{m/s^2}$. What is its velocity at $t=4\\ \mathrm{s}$?

Question 5

A car decelerates uniformly from $30\\ \mathrm{m/s}$ to rest over a distance of $200\\ \mathrm{m}$. What is the magnitude of its acceleration?