An object is dropped from a height of 80 m. How long will it take to reach the g

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Question: An object is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 9.8 m/s²)

Options:

Correct Answer: 6 s

Solution:

Using the formula t = √(2h/g), where h = 80 m and g = 9.8 m/s², we get t = √(2 * 80 / 9.8) ≈ 4.04 s.

An object is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 9.8 m/s²)

An object is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 9.8 m/s²)

Step 1: Identify the height from which the object is dropped. In this case, the height (h) is 80 meters.
Step 2: Identify the acceleration due to gravity (g). Here, g is given as 9.8 m/s².
Step 3: Use the formula to calculate the time (t) it takes for the object to reach the ground. The formula is t = √(2h/g).
Step 4: Substitute the values into the formula: t = √(2 * 80 / 9.8).
Step 5: Calculate the value inside the square root: 2 * 80 = 160, then divide by 9.8: 160 / 9.8 ≈ 16.33.
Step 6: Take the square root of 16.33 to find t: t ≈ √16.33 ≈ 4.04 seconds.
Step 7: Conclude that it will take approximately 4.04 seconds for the object to reach 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 under constant acceleration, such as the equation used to calculate time of fall.