A stone is thrown horizontally from the top of a cliff 80 m high. How far from t

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Question: 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?

Options:

20 m
40 m
60 m
80 m

Correct Answer: 40 m

Solution:

Time to fall = √(2h/g) = √(2*80/9.8) ≈ 4.04 s. Horizontal distance = speed * time = 10 m/s * 4.04 s ≈ 40 m.

A stone is thrown horizontally from the top of a cliff 80 m high. How far from t

Practice Questions

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.
Step 8: Calculate the distance: 10 * 4.04 = 40.4 meters.
Step 9: Round the distance to a reasonable number, which is approximately 40 meters.

Projectile Motion – The question tests understanding of projectile motion, specifically the horizontal and vertical components of motion.
Free Fall – It assesses the ability to calculate the time of free fall from a height using the formula derived from the equations of motion.
Horizontal Distance Calculation – It evaluates the skill to calculate horizontal distance traveled using constant speed and time.

A stone is thrown horizontally from the top of a cliff 80 m high. How far from t

What’s inside this PDF?

A stone is thrown horizontally from the top of a cliff 80 m high. How far from t

Practice Questions

Questions & Step-by-Step Solutions

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