Kinematics with calculus Transitional Reasoning Download PDF

Questions

1. 1.

   An automated delivery cart travels along a straight one-dimensional track with a time-dependent acceleration modeled by $a(t) = 6t - 12\text{ m/s}^2$, where $t$ is measured in seconds. At $t = 0\text{ s}$, the cart is at the origin ($x = 0\text{ m}$) moving with a velocity of 9 m/s. What is the position of the cart when it momentarily comes to rest for the first time?

   • A) 2 m
   • B) 3 m
   • C) 6 m
   • D) 4 m