1. Consider a particle following the parametric equations
$x = 2t+1$, $ y = 3t+2$
as well as points $P_1$, $P_2, P_3,$ and $P_4$ :
Say that our particle is at $P_1$ at time $t_1$, our particle is at $P_2$ at time $t_2$ , our particle is at $P_3$ at time $t_3$ , and our particle is at $P_4$ at time $t_4$ . Enter times $t_1, t_2, t_3$, and $t_4$ in that order.
2. Consider a particle following the parametric equations
$x = 2t+1$
$y = 3t+2$
What is the speed of this particle? (You may assume it's constant at all times.)
1) P1 = 1,2 x = 1 y = 2 1 = 2t+1 so t = 0 as a check: y = 2 = 3(0)+2 = 2 CHECK !
you should be able to calculate P2 P3 and P4 in th same manner