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? (Take g = 10 m/s²) (2023)

Options:

Correct Answer: 8 s

Solution:

Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2*80/10) = sqrt(16) = 4 s.

An object is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2023)

An object is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2023)

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 10 m/s².
Step 3: Use the formula for the distance fallen under gravity: h = 0.5 * g * t².
Step 4: Rearrange the formula to solve for time (t). The rearranged formula is t = sqrt(2h/g).
Step 5: Substitute the values of h and g into the rearranged formula: t = sqrt(2 * 80 / 10).
Step 6: Calculate the value inside the square root: 2 * 80 = 160, and 160 / 10 = 16.
Step 7: Find the square root of 16, which is 4.
Step 8: Conclude that it will take 4 seconds for the object to reach the ground.

Free Fall – The motion of an object 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.