Physics, 13.07.2019 22:50 reneewilliams20

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. you have determined that the football would travel 15.1 m before landing. how would this value change if the football was kicked at an angle of 35.0°?

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Based on the information given:
The vertical velocity is 13.9 * sin (35°) = 7.97 m/s
The horizontal velocity is 13.9 * cos (35°) = 11.39 m/s

First, let's see how long the ball will be in the air, given its initial vertical velocity of 7.97 m/s. To do this, let's see when the vertical velocity equals zero (when the ball reaches the vertical peak of its trajectory, or the moment just before the ball starts to come down). Remember that acceleration due to gravity is -9.8 /s²
v(t) = vi - at
0 = 7.97 + -9.8 * t Subtract 7.97 from both sides
-7.97 = -9.8 * t Divide both sides by -9.8
t = .8135
The height at this point was:
h(t) = vi (t) + (1/2) a *t²
h(t) = 7.97 (.8135) + (1/2) (-9.8) (.8135²)
h(t) = 6.48 - 3.24
h(t) = 3.24m

How long until the ball came down? How long does it take a ball to fall 3.24 meters, with an initial vertical velocity of 0?
3.24 = 0 - (1/2) (9.8) (t²) Divide both sides by (9.8/2)
t² = .66 Take the square root of both sides
t = .835
/
The ball took about the same amount of time, .8 seconds, to come down as it did to come up. Total time ball was in air: .813 + .835 = 1.648

The balled traveled for 1.648 seconds at a constant horizontal speed (11.39 m/s) before coming down. How far did it travel?
1.648 * 11.39 = 18.77 m

What is the change given this new angle, compared to the 25° angle?
18.77 - 15.1 = 3.67

How do the two angles differ in terms of the general path of the ball? In the 25° angle, the ball was kicked at a shallower angle (kind of like a line drive hit in baseball), and traveled with a higher horizontal velocity and lower initial vertical velocity. This means the ball was in the air for less time. the 35° angle had a higher initial vertical and lower horizontal velocity, but was in the air for longer. This extra hang time means that the ball was able to travel farther before hitting the ground.

Answer from: Quest

carbon is found in all living things. carbon atoms move constantly through

living organisms, the oceans, the atmosphere, and the earth’s crust in what is

known as the carbon cycle. the directions taken by carbon atoms through this

cycle are very complicated and can take millions of years to make a full circle.

all animals, from humans to the dinosaurs are part of the carbon cycle. when

animals eat food, they get carbon in the form of carbohydrates and proteins.

in animals, oxygen combines with food in the cells to produce energy for daily

activity and then gives off carbon. the carbon combines with oxygen to form

carbon dioxide (co2) and is released back into the atmosphere as a waste

product when animals breathe and exhale.

from 145-65 million years ago, earth was much

hotter than today and covered with dense,

tropical swamp forests. the trees and other

plants were immense and

provided an endless supply of

food for the giant animals that

roamed the land. somewhere in

the air above one of these

forests, a lone carbon atom has joined

up with two oxygen atoms to form a molecule of co2.

the co2 molecule was sucked into the tiny holes (stomata) on the leaf of a

fern plant and joined with sunlight, chlorophyll and water to make food and

energy in the plant’s cells through photosynthesis. the oxygen (o2) from the

co2 molecule was sent back into the atmosphere; the carbon atom (c) was

detached and used to make a molecule of sugar.

if that carbon atom had been eaten instead, a totally

different situation would have developed. let’s say

that a giant plant-eating dinosaur (herbivore) ate the

fern for breakfast, and swallowed the carbon in the

fern in the form of carbohydrates and proteins. in

the process of respiration, oxygen combined with

the carbohydrates and proteins in the dinosaur’s cells

to provide energy for its daily activity.

Answer from: Quest

think its the third option

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Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the g...

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