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anonymous
 3 years ago
A student stands at the top of a cliff and throws a stone horizontally at a speed of 8 m/s. They see the stone splash into the water 5.5 seconds later.
a) How high is the cliff?
b) What horizontal distance does the stone travel?
anonymous
 3 years ago
A student stands at the top of a cliff and throws a stone horizontally at a speed of 8 m/s. They see the stone splash into the water 5.5 seconds later. a) How high is the cliff? b) What horizontal distance does the stone travel?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[t=\sqrt{\frac{2h}{g}}\] You can derive this equation if you want. From here you can find h with known t (a). For b, simply: \[x=v_x*t\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I'm sorry, can you explain it further? I didn't get it :/

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Let's start from beginning: \[h=v_{0y}t+\frac12 gt^2\] Familiar with this?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes :) Okay, now what?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0since the student throw the stone horizontally, it means v0y=0 can you find h now? :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0gravity acceleration, with value 9.8 m/s^2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So, h= (1/2) * 9.8 * (5.5)^2 ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Good, that's correct.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh okay, and how do I find the horizontal distance?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0This is the equation for horizontal motion: \[x=v_{0x}t\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Wait, what is v0x and x? :/

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0vox is initial horizontal velocity, and x is horizontal displacement.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So, horizontal velocity is 8 m/s? And time is 5.5 seconds?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, now you can find x.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh :/ Wow, THANK YOU SO MUCH for spoon feeding me through the entire problem! :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It's okay. I love teaching :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And you're damn good at it too :)
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