-- We know that the y-component of acceleration is the derivative of the
y-component of velocity.
-- We know that the y-component of velocity is the derivative of the
y-component of position.
-- We're given the y-component of position as a function of time.
So, finding the velocity and acceleration is simply a matter of differentiating
the position function ... twice.
Now, the position function may look big and ugly in the picture. But with the
exception of 't' , everything else in the formula is constants, so we don't even
need any fancy processes of differentiation. The toughest part of this is going
to be trying to write it out, given the text-formatting capabilities of the wonderful
envelope-pushing website we're working on here.
From the picture . . . . . y (t) = (1/2) (a₀ - g) t² - (a₀ / 30t₀⁴ ) t⁶
First derivative . . . y' (t) = (a₀ - g) t - 6 (a₀ / 30t₀⁴ ) t⁵ = (a₀ - g) t - (a₀ / 5t₀⁴ ) t⁵
There's your velocity . . . /\ .
Second derivative . . . y'' (t) = (a₀ - g) - 5 (a₀ / 5t₀⁴ ) t⁴ = (a₀ - g) - (a₀ /t₀⁴ ) t⁴
and there's your acceleration . . . /\ .
That's the one you're supposed to graph.
a₀ is the acceleration due to the model rocket engine thrust
combined with the mass of the model rocket
'g' is the acceleration of gravity ... 9.8 m/s² or 32.2 ft/sec²
t₀ is how long the model rocket engine burns
Pick, or look up, some reasonable figures for a₀ and t₀
and you're in business.
The big name in model rocketry is Estes. Their website will give you
all the real numbers for thrust and burn-time of their engines, if you
want to follow it that far.
Answer:
F = 326.7 N
Explanation:
given data
mass m = 200 kg
distance d = 2 m
length L = 12 m
solution
we know force exerted by the weight of the rock that is
W = m × g ..............1
W = 200 × 9.8
W = 1960 N
and
equilibrium the sum of the moment about that is
∑Mf = F(cos∅) L - W (cos∅) d = 0
here ∅ is very small so cos∅ L = L and cos∅ d = D
so F × L - W × d = 0 .................2
put here value
F × 12 - 1960 × 2 = 0
solve it we get
F = 326.7 N
Answer:
Read this entry from a blog about service dogs.
Lexie, an eight-month-old black Labrador retriever, is sleeping quietly at my feet. I can’t help but think that her soft, velvety ears and alert brown eyes would make her the perfect “doggie model” for pet magazines and pet store ads. However, Lexie will soon have a much more important job to do. In a few months, she will become the loyal companion and service dog for a young man who has been blind since birth. She will help him board public transportation, such as buses, subways, and trains, and she will help him safely cross busy intersections. Lexie will even help the young man avoid obstacles, such as high curbs and low overhangs. Like all dogs in our organization, Lexie has undergone months of specialized training to help a visually impaired person lead an active and independent life.
What is the secondary purpose of this blog?
to inform readers about seeing-eye dogs
to entertain readers with details about Lexie
to persuade readers to train service dogs
to convince readers to adopt Labrador retrievers
Explanation:
Answer:
Explanation:
Given the following data;
Distance = 46 km
Time = 11 minutes
To find the average speed;
Speed = distance/time
Electrical Charge is a property of matter that causes it to experience a force when place in an electromagnetic field. Charge is measured in coulombs.
The change in the charge is 2.2- (2.0)= 4.2 μ c.
1 electron has a charge of 1.6 ×10∧-19 coulombs
Therefore, the number of electrons will be;
= (4.2 ×10∧-6)/ (1.6 ×10∧-19)
= 2.625 × 10∧13 electrons
