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amishra
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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?
 2 years ago
 2 years ago
amishra Group Title
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?
 2 years ago
 2 years ago

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imron07 Group TitleBest ResponseYou've already chosen the best response.1
\[t=\sqrt{\frac{2h}{g}}\] You can derive this equation if you want. From here you can find h with known t (a). For b, simply: \[x=v_x*t\]
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
I'm sorry, can you explain it further? I didn't get it :/
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
Let's start from beginning: \[h=v_{0y}t+\frac12 gt^2\] Familiar with this?
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
Yes :) Okay, now what?
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
since the student throw the stone horizontally, it means v0y=0 can you find h now? :)
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
gravity acceleration, with value 9.8 m/s^2
 2 years ago

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

imron07 Group TitleBest ResponseYou've already chosen the best response.1
Good, that's correct.
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
Oh okay, and how do I find the horizontal distance?
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
This is the equation for horizontal motion: \[x=v_{0x}t\]
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
Wait, what is v0x and x? :/
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
vox is initial horizontal velocity, and x is horizontal displacement.
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
So, horizontal velocity is 8 m/s? And time is 5.5 seconds?
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
Yes, now you can find x.
 2 years ago

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

imron07 Group TitleBest ResponseYou've already chosen the best response.1
It's okay. I love teaching :D
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
And you're damn good at it too :)
 2 years ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
Lol, thx for that :)
 2 years ago
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