Question

select the correct unit.
the distance traveled by a falling object is modeled by the equation below, where s is the distance fallen, g is gravity, and t is time.

s = \frac{1}{2}gt^{2}

if s is measured in meters and t is measured in seconds, what units is g measured in?

Explanation:

Step1: Analyze the formula for units

Given \( s=\frac{1}{2}gt^{2} \), we know that units on both sides of the equation must be consistent.

Step2: Substitute the known units

Let the unit of \( s \) be meters (\( m \)) and the unit of \( t \) be seconds (\( s \)). Substituting into the formula: \( m = g\times s^{2} \).

Step3: Solve for the unit of \( g \)

To find the unit of \( g \), we rearrange the equation for units: \( g=\frac{m}{s^{2}} \), which is meters per second squared (\( m/s^{2} \)).

Answer:

meters per second squared