### Home > CALC > Chapter 7 > Lesson 7.3.4 > Problem7-149

7-149.

Multiple Choice: Two particles start at the origin and move along the $x$-axis. For $0 ≤ t ≤ 2π$, the position functions are given by $x_1 = −\operatorname{cos}(2t)$ and $x_2 = e^{(t−1)/4} − 0.5$. For how many values of $t$ do the particles have the same velocity?

1. $0$

1. $1$

1. $2$

1. $3$

1. $4$

How many ways can you make $v_1 = v_2$?