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An object is dropped from a height of 80 m. How long will it take to reach the g
Practice Questions
Q1
An object is dropped from a height of 80 m. How long will it take to reach the ground?
4 s
5 s
6 s
8 s
Questions & Step-by-Step Solutions
An object is dropped from a height of 80 m. How long will it take to reach the ground?
Steps
Concepts
Step 1: Identify the height from which the object is dropped. In this case, the height (h) 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): t = sqrt(2h/g).
Step 5: Substitute the values into the formula: t = sqrt(2 * 80 / 9.8).
Step 6: Calculate the value inside the square root: 2 * 80 = 160, then divide by 9.8 to get approximately 16.33.
Step 7: Take the square root of 16.33 to find t: t ≈ 4.04 seconds.
Step 8: Round the answer to the nearest whole number if needed. In this case, it is approximately 4 seconds.
Free Fall
– Understanding the motion of an object under the influence of gravity without air resistance.
Kinematic Equations
– Application of kinematic equations to solve for time, distance, and acceleration in motion problems.
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