A stone is dropped from a height of 80 m. How long does it take to hit the groun

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Question: A stone is dropped from a height of 80 m. How long does it take to hit the ground?

Options:

Correct Answer: 4 s

Solution:

Time (t) = √(2h/g) = √(2*80/9.8) = 4.04 s.

A stone is dropped from a height of 80 m. How long does it take to hit the ground?

A stone is dropped from a height of 80 m. How long does it take to hit the ground?

Step 1: Identify the height from which the stone is dropped. In this case, it is 80 meters.
Step 2: Understand that the formula to calculate the time it takes for an object to fall from a height is t = √(2h/g), where 'h' is the height and 'g' is the acceleration due to gravity (approximately 9.8 m/s²).
Step 3: Substitute the values into the formula. Here, h = 80 m and g = 9.8 m/s².
Step 4: Calculate 2h, which is 2 * 80 = 160.
Step 5: Divide 160 by g (9.8): 160 / 9.8 = approximately 16.33.
Step 6: Take the square root of 16.33 to find the time: √(16.33) = approximately 4.04 seconds.
Step 7: Conclude that it takes about 4.04 seconds for the stone to hit the ground.

Free Fall – The motion of an object falling under the influence of gravity alone, without any air resistance.
Kinematic Equations – Equations that describe the motion of objects, particularly those in free fall, relating distance, time, and acceleration.