Acat jumps from a window 3 m from ground level. its initial speed is 3 m/s, at 30° above the horizontal. disregard air resistance. a) how long does it stay in the air? b) how far from the building does it hit the ground? c) what is its velocity when it hits the ground?

a)

b)

c)

Explanation:

From the exercise we know that the initial height is 3m and the initial velocity is 3 m/s at 30º above the horizontal

a) To calculate how long does the cat stays in the air we need to know that at that moment y=0

Solving the quadratic equation for t:

or

Since time can not be negative, the cat stays in the air for 0.95s

b) The horizontal displacement is:

c) To find its velocity when it hits the ground we need to analyze both x and y motion

So, v is:

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !