A stone is dropped from a height of 80 m. How long will it take to reach the ground?
Practice Questions
1 question
Q1
A stone is dropped from a height of 80 m. How long will it take to reach the ground?
2 s
4 s
6 s
8 s
Using h = (1/2)gt², we get t = √(2h/g) = √(2*80/9.8) = 4.04 s.
Questions & Step-by-step Solutions
1 item
Q
Q: A stone is dropped from a height of 80 m. How long will it take to reach the ground?
Solution: Using h = (1/2)gt², we get t = √(2h/g) = √(2*80/9.8) = 4.04 s.
Steps: 7
Step 1: Identify the height from which the stone is dropped. In this case, the height (h) is 80 meters.
Step 2: Understand that the formula to calculate the time (t) it takes for an object to fall from a height is t = √(2h/g), where g is the acceleration due to gravity (approximately 9.8 m/s²).
Step 3: Substitute the values into the formula. Here, h = 80 m and g = 9.8 m/s².
Step 4: Calculate 2h, which is 2 * 80 = 160.
Step 5: Divide 160 by g (9.8). So, 160 / 9.8 = approximately 16.33.
Step 6: Take the square root of 16.33 to find t. The square root of 16.33 is approximately 4.04 seconds.
Step 7: Conclude that it will take about 4.04 seconds for the stone to reach the ground.
