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Answer :
Final answer:
The height of the cliff is approximately 268 meters.
Explanation:
To find the height of the cliff, we need to use the kinematic equation for free fall in the vertical direction. The equation is:
h = (1/2)gt^2
where h is the height of the cliff, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time it takes for the stone to hit the ground. Plugging in the given values:
h = (1/2)(9.8 m/s^2)(7.4 s)^2
Simplifying the equation, we find that the height of the cliff is approximately 268 meters. Therefore, the correct answer is d) 268 m.
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