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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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imron07Best 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: \[x=v_x*t\]
 one year ago

amishraBest ResponseYou've already chosen the best response.0
I'm sorry, can you explain it further? I didn't get it :/
 one year ago

imron07Best ResponseYou've already chosen the best response.1
Let's start from beginning: \[h=v_{0y}t+\frac12 gt^2\] Familiar with this?
 one year ago

amishraBest ResponseYou've already chosen the best response.0
Yes :) Okay, now what?
 one year ago

imron07Best ResponseYou've already chosen the best response.1
since the student throw the stone horizontally, it means v0y=0 can you find h now? :)
 one year ago

imron07Best ResponseYou've already chosen the best response.1
gravity acceleration, with value 9.8 m/s^2
 one year ago

amishraBest ResponseYou've already chosen the best response.0
So, h= (1/2) * 9.8 * (5.5)^2 ?
 one year ago

amishraBest ResponseYou've already chosen the best response.0
Oh okay, and how do I find the horizontal distance?
 one year ago

imron07Best ResponseYou've already chosen the best response.1
This is the equation for horizontal motion: \[x=v_{0x}t\]
 one year ago

amishraBest ResponseYou've already chosen the best response.0
Wait, what is v0x and x? :/
 one year ago

imron07Best ResponseYou've already chosen the best response.1
vox is initial horizontal velocity, and x is horizontal displacement.
 one year ago

amishraBest ResponseYou've already chosen the best response.0
So, horizontal velocity is 8 m/s? And time is 5.5 seconds?
 one year ago

imron07Best ResponseYou've already chosen the best response.1
Yes, now you can find x.
 one year ago

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

imron07Best ResponseYou've already chosen the best response.1
It's okay. I love teaching :D
 one year ago

amishraBest ResponseYou've already chosen the best response.0
And you're damn good at it too :)
 one year ago
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