Answer:
a. 38.19m/s
b. 38.605m/s
c. 38.937m/s
d. 39.0117m/s
e. 39.01917m/s
Step-by-step explanation:
The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:
Where:
a. Let's find h(3) and h(4) using the data provided by the problem:
The average velocity over the interval [3, 4] is :
b. Let's find h(3.5) using the data provided by the problem:
The average velocity over the interval [3, 3.5] is :
c. Let's find h(3.1) using the data provided by the problem:
The average velocity over the interval [3, 3.1] is :
d. Let's find h(3.01) using the data provided by the problem:
The average velocity over the interval [3, 3.01] is :
e. Let's find h(3.001) using the data provided by the problem: