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 2 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?
 2 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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imron07
 2 years ago
Best 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: \[x=v_x*t\]

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

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

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

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

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

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

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

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

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

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

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

amishra
 2 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

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

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