### Home > APCALC > Chapter 7 > Lesson 7.3.5 > Problem7-160

7-160.

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

1. $0$

1. $1$

1. $2$

1. $3$

1. $4$

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