Answer:
s = 1.925 meters
Step-by-step explanation:
Given that,
Horizontal force acting on the cart, F = 11 N
Mass of the cart, m = 35 kg
To find,
Distance covered by the cart in 3.5 seconds if it starts from rest.
Solution,
As the cart is starting from rest, u = 0
Let x is the distance moved by the cart. It can be calculated using the second equation of motion as :
![s=ut+(1)/(2)at^2](https://img.qammunity.org/2020/formulas/physics/middle-school/z381q7xga85qdtp5e9fiz6dr16bacc3cy2.png)
Since,
![a=(F)/(m)](https://img.qammunity.org/2020/formulas/physics/college/1ie8p6lmpl0sty9y65jb6f9usdisjhtnwg.png)
![s=(1)/(2)* (F)/(m)* t^2](https://img.qammunity.org/2020/formulas/physics/high-school/492t3x738wwr375vovhqeduo096umymmgs.png)
![s=(1)/(2)* (11)/(35)* (3.5)^2](https://img.qammunity.org/2020/formulas/physics/high-school/tuq3djieec261yq145o5nmjl97kdy62zsm.png)
s = 1.925 meters
Therefore, the distance covered by the cart is 1.925 meters.