High School

Mr. Duong is riding the Drop Zone at Kemah. If Mr. Duong free falls for 5 seconds, how far will he fall? (Hint: Gravity is [tex]9.8 \, \text{m/s}^2[/tex].)

A. 142.5 m
B. 42.5 m
C. 100.5 m
D. 22.5 m
E. 122.5 m

Answer :

Final Answer

If Mr. Duong free falls for 5 seconds due to gravity at 9.8 m/s², he will fall approximately 122.5 meters.

Explanation

To calculate the distance Mr. Duong falls when free-falling for 5 seconds, we can use the formula for distance traveled under constant acceleration:

[tex]\[d = \frac{1}{2}gt^2\][/tex]

Where:

- \(d\) is the distance traveled (what we want to find).

- \(g\) is the acceleration due to gravity (given as 9.8 m/s²).

- \(t\) is the time of free fall (given as 5 seconds).

Now, plug in the values:

[tex]\[d = \frac{1}{2} * 9.8 m/s² * (5 s)^2\]\[d = \frac{1}{2} * 9.8 m/s² * 25 s^2\]\[d = 122.5 m\][/tex]

So, Mr. Duong will fall approximately 122.5 meters during his 5-second free fall on the Drop Zone at Kemah.

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