physics question (kg N s)

Question

In a grocery store, you push a 10.1-kg shopping cart horizontally with a force of 10.8 N.If the cart starts at rest, how far does it move in 2.80s 

Answer 1

First, we will need to know the cart's acceleration. We can use the following formula:

F = ma

a = F/m

a = 10.8/10.1

Now that we know a, We can use the following formula (where subscript i means initial and subscript f means final):

x_f = .5at² + v_it + x_i

x_f - x_i = .5at² + v_it

The problem says that the cart starts at rest, so v_i = 0. Therefore, we get:

x_f - x_i = .5at²