When performing dimensional analysis, we usually use conversion factors. What is a conversion factor?

A conversion factor is a variable that transforms the dimension of one variable into the terms of another variable.

Explanation:

Let be and two variables with diferent dimensions (units), is a conversion if transforms the dimension of one variable into the terms of the other variable. That is:

(1)

Where:

- Input, [input unit]

- Output, [output unit]

- Conversion factor, [output unit] per [input unit]

a: 45.9 meters

b: 4.29 seconds

step-by-step explanation:

a: h(t)=1/2(-9.8)(3)^2+0(3)+90

h(t)=-4.9(3)^2+90

h(t)=-44.1+90

h(t)=45.9 meters

b: 0=1/2(-9.8)(t^2)+0t+90

0=-4.9t^2+90

-90=-4.9t^2

18.37=t^2

t=4.29 seconds

in the second question, the numbers aren't exact, but they're a close approximation.

just did the assignment and the answer was #1 +2 n