A stone is dropped from a height of 45 m. How far will it have fallen after 3 seconds?
Practice Questions
1 question
Q1
A stone is dropped from a height of 45 m. How far will it have fallen after 3 seconds?
10.5 m
20 m
30 m
40.5 m
Distance fallen (s) = (1/2)gt² = (1/2)(9.8)(3²) = 44.1 m.
Questions & Step-by-step Solutions
1 item
Q
Q: A stone is dropped from a height of 45 m. How far will it have fallen after 3 seconds?
Solution: Distance fallen (s) = (1/2)gt² = (1/2)(9.8)(3²) = 44.1 m.
Steps: 8
Step 1: Understand that the stone is dropped from a height of 45 m.
Step 2: Know that the formula to calculate the distance fallen by an object in free fall is s = (1/2)gt², where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time in seconds.
Step 3: Identify the time (t) given in the problem, which is 3 seconds.
Step 4: Substitute the values into the formula: s = (1/2)(9.8)(3²).
Step 5: Calculate 3², which is 9.
Step 6: Multiply 9.8 by 9 to get 88.2.
Step 7: Multiply 88.2 by (1/2), which is 44.1.
Step 8: Conclude that the stone will have fallen 44.1 meters after 3 seconds.
