Answer:
distance stop 1.52m,
velocity 4.0 m/s y^
Explanation:
The movement of the particle is two-dimensional since it has acceleration in the x and y axes, the way to solve it is by working each axis independently.
a) At the point where the particle begins to return its velocity must be zero (Vfx = 0)
Vfₓ = V₀ₓ + aₓ t
t = - V₀ₓ/aₓ
t = - 2.4/(-1.9)
t= 1.26 s
At this time the particle stops, let's find his position
X1 = V₀ₓ t + ½ aₓ t²
X1= 2.4 1.26 + ½ (-1.9) 1.26²
X1= 1.52 m
At this point the particle begins its return
b) The velocity has component x and y
As a section, the X axis x Vₓ = 0 m/s is stopped, but has a speed on the y axis
Vfy= Voy + ay t
Vfy= 0 + 3.2 1.26
Vfy = 4.0 m/s
the velocity is
V = (0 x^ + 4.0 y^) m/s
c) In order to make the graph we create a table of the position x and y for each time, let's start by writing the equations
X = V₀ₓ t+ ½ aₓ t²
Y = Voy t + ½ ay t²
X= 2.4 t + ½ (-1.9) t²
Y= 0 + ½ 3.2 t²
X= 2.4 t – 0.95 t²
Y= 1.6 t²
With these equations we build the table to graph, for clarity we are going to make two distance graph with time, one for the x axis and another for the y axis
Chart to graph
Time (s) x(m) y(m)
0 0 0
0.5 0.960 0.4
1 1.45 1.6
1.50 1.46 3.6
2.00 1.00 6.4
Answer:
Yes to answer is 3/5 of what
Well, see, there you go ... using a word that means different things
to different people, and may even mean different things to the same
people at different times.
What does "nearly" mean ? ? And how do you measure how far
or near to a circle it is ? ?
Every closed gravitational orbit is an ellipse. An ellipse looks like a
circle that either has or hasn't been squashed. If it's perfectly round
and hasn't been squashed at all, then we call it a circle. If it's been
squashed at all, then we call it an ellipse.
To come up with a number that tells how squashed it is, we divide
(the distance from the center to one focus of the ellipse)
by
(the distance from the center to one vertex of the ellipse).
The eccentricity of a circle is zero. When you squeeze the circle,
the more you squash it, the higher the eccentricity gets, until ... if
you totally squash it down to a straight line ... the eccentricity is 1.
Perfect circle . . . . . . zero
Totally squashed . . . 1.00
Orbit Eccentricity Compared to Earth
Mercury 0.21 x 12.3
Venus 0.007 x 0.4
Earth 0.017 x 1.0
Moon 0.055 x 3.3
Mars 0.094 x 5.6
Pluto 0.244 x 14.6
Halley's Comet 0.97 x 57.1
Conclusions:
-- All of the planets (and their moons too) have nearly circular orbits.
-- While Pluto was considered a planet, it had the most eccentric orbit
of all. (That's one of the reasons it lost its standing as a planet. There
were other reasons.)
-- Now the planet with most eccentric orbit is Mercury. The orbits didn't
change. Pluto just got bumped from the list.
-- Most comets have very eccentric, far-from-circlular, elliptical orbits.
They go waaaay out, and come waaay in close to the Sun.
