A ball is dropped from a height of 80 m. How long will it take to reach the grou

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Question: A ball is dropped from a height of 80 m. How long will it take to reach the ground?

Options:

Correct Answer: 6 s

Solution:

Using the formula: h = 0.5 * g * t², where h = 80 m and g = 9.8 m/s². Rearranging gives t² = (2 * h) / g = (2 * 80) / 9.8 ≈ 16.33, so t ≈ 4.03 s.

A ball is dropped from a height of 80 m. How long will it take to reach the ground?

A ball is dropped from a height of 80 m. How long will it take to reach the ground?

Step 1: Identify the height from which the ball is dropped. In this case, it is 80 meters.
Step 2: Know the acceleration due to gravity (g), which is approximately 9.8 meters per second squared (m/s²).
Step 3: Use the formula for the height of a falling object: h = 0.5 * g * t².
Step 4: Rearrange the formula to solve for time (t). This gives us t² = (2 * h) / g.
Step 5: Substitute the values into the rearranged formula: t² = (2 * 80) / 9.8.
Step 6: Calculate the right side: (2 * 80) = 160, so t² = 160 / 9.8.
Step 7: Perform the division: 160 / 9.8 ≈ 16.33.
Step 8: Take the square root of 16.33 to find t: t ≈ 4.03 seconds.

Kinematics – The question tests understanding of the equations of motion, specifically how to calculate the time of free fall under the influence of gravity.
Free Fall – It assesses knowledge of the effects of gravity on an object in free fall and the relationship between height, time, and acceleration due to gravity.