A stone is thrown horizontally from the top of a cliff 80 m high. How far from t
Practice Questions
Q1
A stone is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will the stone land if it is thrown with a speed of 10 m/s?
20 m
40 m
60 m
80 m
Questions & Step-by-Step Solutions
A stone is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will the stone land if it is thrown with a speed of 10 m/s?
Step 1: Identify the height of the cliff, which is 80 meters.
Step 2: Use the formula to calculate the time it takes for the stone to fall. The formula is time = √(2h/g), where h is the height (80 m) and g is the acceleration due to gravity (approximately 9.8 m/s²).
Step 3: Plug in the values: time = √(2 * 80 / 9.8).
Step 4: Calculate the value inside the square root: 2 * 80 = 160, then divide by 9.8 to get approximately 16.33.
Step 5: Take the square root of 16.33 to find the time: time ≈ 4.04 seconds.
Step 6: Now, calculate the horizontal distance the stone travels. Use the formula: distance = speed * time.
Step 7: Plug in the values: distance = 10 m/s * 4.04 s.
