Step-by-step explanation:
Acceleration is the rate of change in the speed of an object. If initial and final speed are v₁ and v₂. It changes speed in time t. Its formula is given by :
![a=(v_2-v_1)/(t)](https://img.qammunity.org/2021/formulas/physics/high-school/1lpopziwfmctqj64llylbrxmxnj5g9a9nj.png)
The problem is "A skater increases her velocity from 2.0 m/s to 10.0 m/s in 3.0 seconds. What is the skater’s acceleration? "
In this problem,
v₁ = 2 , v₂ = 10 m/s and t = 3 s
Acceleration of the object,
![a=(10-2)/(3)\\\\a=2.67\ m/s^2](https://img.qammunity.org/2021/formulas/physics/high-school/aoqaumvasq64yrjuk6ogtr616jo3lgf54b.png)
So, the acceleration of the skater is
.