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mars1129 [50]
3 years ago
14

a model rocket flies horizontally off the edge of a cliff at a velocity of 40.0m/s. if the canyon below is 110.0m deep, how far

from the edge of the cliff does the model rocket land?
Physics
1 answer:
Over [174]3 years ago
5 0

Answer:

189.6 m

Explanation:

First of all, we study the vertical motion of the rocket in order to find the time it takes for it to land. The suvat equation for the vertical motion is

s=ut+\frac{1}{2}gt^2

where, taking downward as positive direction:

s = 110.0 m is the vertical displacement

u = 0 is the initial vertical velocity

g = 9.8 m/s^2 is the acceleration of gravity

t is the time of flight

Solving for t,

t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(110)}{9.8}}=4.74 s

Now we can just analyze the horizontal motion, which is a uniform motion with constant velocity, which is equal to

v_x = 40.0 m/s

So the distance travelled horizontall after a time t is

d=v_x t

So, when the rocket lands (t = 4.74 s), the horizontal distance travelled is

d=(40.0)(4.74)=189.6 m

Therefore, the rocket lands 189.6 m far from the edge of the cliff.

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Explanation:

given data:

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Explanation:

It can be a bit tricky to hold a tuning fork while manipulating an instrument, which is why some musicians decide to clench the base of a ringing tuning fork in their teeth. This has the unique effect of transmitting sound through your bones, allowing your brain to "hear" the tone through your jaw. According to some urban legends, touching your teeth with a vibrating tuning fork is enough to make them explode. It's a myth, obviously, but if you have a cavity or a chipped tooth, you'll quickly find this method to be unbelievably painful.

Luckily, you can also buy tuning forks that come mounted on top of a resonator, a hollow wooden box designed to amplify a tuning fork's vibrations. In 1860, a pair of German inventors even devised a battery-powered tuning fork that musicians didn't need to ring again and again

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