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Answer:
- time: 1.122 seconds
- range: 10.693 m
- maximum height: 1.543 m
Explanation:
<u>Given</u>:
runner is launched at 30° angle to horizontal at 11 m/s
acceleration due to gravity is g = -9.8 m/s²
<u>Find</u>:
runner's hang time
runner's distance to the landing point
runner's maximum height
<u>Solution</u>:
The (horizontal, vertical) speed components will be ...
(11 m/s)(cos(30°), sin(30°)) = (5.5√3 m/s, 5.5 m/s)
The time of flight can be found from the height formula:
h(t) = 1/2gt² +vt . . . . . . where v is the vertical speed at launch
The time we're concerned with is the time when h(t)=0 and t>0.
0 = -4.9t^2 +5.5√3t = t(-4.9t +5.5√3)
The second factor is zero when ...
t = (5.5√3)/4.9 ≈ 1.122 . . . seconds hang time
__
The distance to the landing point will be the product of horizontal speed and hang time:
d = (5.5 m/s)(5.5√3/4.9 s) ≈ 10.693 m . . . . distance to landing
__
The maximum height can be found from the formula (based on conversion of kinetic energy to potential energy) ...
h = v²/|2g| = (5.5 m/s)²/(2(9.8 m/s²)) ≈ 1.543 m . . . . maximum height
Answer:
COMMENSALISM
Explanation:
The interaction of organisms with one another in an ecosystem is called SYMBIOSIS, if it involves two organisms of same or different species. One type of symbiotic relationship is COMMENSALISM, which is a relationship in which one organism benefits while the other neither benefits or gets harmed.
This is the case of the burdock weed and its association with cows, deers or people. The burdock weed benefits from the relationship by getting Its seeds that attaches to the cow's, deer's or human's skin via its hooked-tip burrs, transported to varying locations. Thus, helping to spread the plant. The cow, deer, or human does not benefit fron this relationship neither is it harmed.
Division of body cells results in a greater variety of traits
Answer:
The 11 positive protons cancel out the 11 negative electrons, and the overall charge of the atom is zero. So it neutral
Explanation:
I hope this helps!!
Answer:
1/8
Explanation:
An individual must have all three dominant alleles to be red, in homozygosis or heterozygosis (R_E_D_).
<u>The parental cross was:</u>
RREEDD x rreedd
F1: RrEeDd
<u>The test cross</u> is between the RrEeDd indiviudals and homozygous recessive rreedd.
The genes assort independently, so we can use Mendel's law of segregation to predict separately for each gene the proportion of the offspring that will have the dominant alleles.
<h3><u>Rr x rr</u></h3>
1/2 Rr
1/2 rr
<h3><u>Ee x ee</u></h3>
1/2 Ee
1/2 ee
<h3><u>Dd x dd</u></h3>
1/2 Dd
1/2 dd
Genes are independent, so the probability of having a R_E_D_ offpsring is calculated by multiplying the individual probabilities of having a dominant allele for each gene:
1/2 (Rr) × 1/2 (Ee) × 1/2 (Dd)= 1/8
