Answer to Question #295231 in Physics for Roku

Question

A particle moves along the x-axis according to the expression x=3t² - 2t where x is in m and t is in s. What is the displacement of the particle in time intervals t=0 to t=1s and t=1s to t=4s

Answer 1

Given:

$x=3t^2 - 2t$

(a)

$$d_1=x(1)-x(0)=3*1^2-2*1-0=1\:\rm m$$

(b)

$$d_2=x(4)-x(1)\\ =(3*4^2-2*4)-(3*1^2-2*1)=39\:\rm m$$