In a grocery store you push a 10.2-kg shopping cart with a force of 13.0N . If the cart starts at rest, how far does it move in 2.20s ?

Question

anonymous · Answer

The first part of this problem is to find the acceleration of the cart.
Using:$$F=ma$$we can rewrite to find the acceleration.$$a=\frac{ F }{ m }=\frac{ 13.0 }{ 10.2 }=1.27 m/s^2$$Now we use the kinematic equation that relates displacement, initial velocity, acceleration, and time:$$s=ut+\frac{ 1 }{ 2 }at^{2}$$Substituting in the variables we get:$$s=(0)(2.20)+\left( \frac{ 1 }{ 2 } \right)(1.27)(2.20)^2$$Therefore, the displacement is:$$s=3.07m$$