It will take him 3.20 seconds to reach the water
Step-by-step explanation:
The given is;
1. The formula h = [tex]\frac{1}{2}[/tex] g t² can  be used to describe the
  relationship, with t representing time (in seconds), h representing
  the  height of the object (in feet), and g representing the object's
  acceleration due to gravity
2. The acceleration of gravity is 32 ft/s²
3. A cliff diver leaps into the water from a height of 164 feet
4. The air resistance is negligible and does not have an effect
We need to find how long will it take him to reach the water
∵ h = [tex]\frac{1}{2}[/tex] g t²
∵ h = 164 feet
∵ g = 32 ft/s²
- Substitute these values in the formula above
∴ 164 = [tex]\frac{1}{2}[/tex] (32) t²
∴ 164 = 16 t²
- Divide both sides by 16
∴ 10.25 = t²
- Take √ for both sides
∴ t = 3.20 seconds
It will take him 3.20 seconds to reach the water
Learn more:
You can learn more about speed, time and distance in brainly.com/question/13053630
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