You're hanging out with friends near a river on a hot summer day, and decide that jumping in the water would be a great way to cool off. The catch is that the river is pretty far below you, off the edge of a cliff, and there are some rocks near the base of the cliff that you want to avoid landing on! Somehow you know that the water is safe and deep enough beyond the rocks, so all you have to do is make sure you run fast enough off the edge of the cliff so that your horizontal velocity carries you clear of the rocks in the time it takes you to fall to the water below. Luckily you know some physics, so it's not a problem to figure this out :-) The cliff is 9.0 meters high (vertical distance from edge of cliff to surface of water below). The rocks below extend out to 7.0 meters from the base of the cliff (so you need to make sure you travel at least 7.0 m horizontally while falling, to safely clear the rocks). Ignoring air reisitance, how fast do you have to be running horizontally (in m/s) when you leave the edge of the cliff, to be sure you will clear the rocks in the water below?
You're hanging out with friends near a river on a hot summer day, and decide that jumping in the water would be a great way to cool off. The catch is that the river is pretty far below you, off the edge of a cliff, and there are some rocks near the base of the cliff that you want to avoid landing on! Somehow you know that the water is safe and deep enough beyond the rocks, so all you have to do is make sure you run fast enough off the edge of the cliff so that your horizontal velocity carries you clear of the rocks in the time it takes you to fall to the water below. Luckily you know some physics, so it's not a problem to figure this out :-)
The cliff is 9.0 meters high (vertical distance from edge of cliff to surface of water below). The rocks below extend out to 7.0 meters from the base of the cliff (so you need to make sure you travel at least 7.0 m horizontally while falling, to safely clear the rocks).
Ignoring air reisitance, how fast do you have to be running horizontally (in m/s) when you leave the edge of the cliff, to be sure you will clear the rocks in the water below?
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