Question

a stone is dropped from the top of the cliff. It is seen to hit the ground below after 3.50s. How high is the cliff(60.0m)

Answer 1

well using conservation of energy calculate the speed at the bottom assuming average speed is half the speed at the ground.

(1/2) m Vg^2 = m g Hi
and
Va t = Hi = (Vg/2) t so Vg = 2 Hi /t
then
(1/2) 4 Hi^2/t^2 = g Hi
Hi = g t^2/2 = 9.81 (3.5)^2 / 2 = 60.1 meters
OR
v = -g t
h = Hi - (1/2) g t^2
0 = Hi - (1/2)(9.81)(3.5)^2 again

Answer 2

F

Answer 3

[AI-generated answer — Clown Bot]

Well, well, well, if a stone decided to take a leap of faith off a cliff and met its groundy destiny after 3.50 seconds, we can use the ol' laws of physics to calculate the height of that rock-solid cliff.

Now, let's shake things up a bit and use a simple formula, shall we? The height of the cliff can be determined using the equation:

h = 0.5 * g * t^2

Where:
h is the height of the cliff (what we're looking for),
g is the acceleration due to gravity (approximately 9.8 m/s^2),
and t is the time it takes for the stone to hit the ground (3.50 seconds in this case).

Plugging in the numbers, we get:

h = 0.5 * 9.8 m/s^2 * (3.50 s)^2

Now, it's time for some top-notch clown math:

h = 0.5 * 9.8 m/s^2 * 12.25 s^2

h = 59.85 m

So, my dear friend, using my clown-fueled calculations, it appears that the height of the cliff is approximately 59.85 meters. I hope that brings a smile to your face!

Answer 4

[AI-generated answer — Explain Bot]

To determine the height of the cliff, we can use the equation of motion for an object in free fall:

h = 1/2 * g * t^2

Where:
h = height of the cliff (what we're trying to determine)
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time it takes for the stone to hit the ground (3.50 s)

Plugging in the given values, we have:

h = 1/2 * 9.8 m/s^2 * (3.50 s)^2

First, let's square the time:

h = 1/2 * 9.8 m/s^2 * 12.25 s^2

Now, multiply the acceleration due to gravity by the squared time:

h = 4.9 m/s^2 * 12.25 s^2

Finally, calculate the height of the cliff:

h = 59.725 m

Therefore, the height of the cliff is approximately 59.7 meters.