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

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

Solution: Using the formula: h = 0.5 * g * t². 80 = 0.5 * 10 * t². Solving gives t² = 16, so t = 4 s.

Steps: 9

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: h = 0.5 * g * t².
Step 4: Substitute the known values into the formula: 80 = 0.5 * 10 * t².
Step 5: Simplify the equation: 80 = 5 * t² (since 0.5 * 10 = 5).
Step 6: To isolate t², divide both sides by 5: t² = 80 / 5.
Step 7: Calculate the right side: t² = 16.
Step 8: To find t, take the square root of both sides: t = √16.
Step 9: Calculate the square root: t = 4 seconds.