Question
In: Physics
The velocity of a particle moving in the xy plane is given by ,v=(5t-4.5t^2)i+8.3j with in...
The velocity of a particle moving in the xy plane is given by ,v=(5t-4.5t^2)i+8.3j with in meters per second and t (> 0) in seconds. At t = 2.4 s and in unit-vector notation, what are (a) the x component and (b) the y component of the acceleration? (c) When (if ever) is the acceleration zero? (d) At what positive time does the speed equal 10 m/s?
Solutions
genius_generous answered 1 year agoRelated Solutions
A 1.90-kg particle moves in the xy plane with a velocity of v with arrow =...
A 1.90-kg particle moves in the xy plane with a velocity of v
with arrow = (4.00 i − 3.70 j) m/s. Determine the angular momentum
of the particle about the origin when its position vector is r with
arrow = (1.50 i + 2.20 j) m.
The velocity function of a particle moving along a line is given by the equation v(t)...
The velocity function of a particle moving along a line is given
by the equation v(t) = t2 - 2t -3. The particle has
initial position s(0) = 4.
a. Find the displacement function
b. Find the displacement traveled between t = 2 and t = 4
c. Find when the particle is moving forwards and when it moves
backwards
d. Find the total distance traveled between t = 2 and t = 4
e. Find the acceleration function, and...
The velocity function for a particle moving along a straight line is given by v(t) =...
The velocity function for a particle moving along a straight
line is given by v(t) = 2 − 0.3t for 0 ≤ t ≤ 10, where t is in
seconds and v in meters/second. The particle starts at the
origin.
(a) Find the position and acceleration functions for this
particle.
(b) After ten seconds, how far is the particle from its starting
point?
(c) What is the total distance travelled by the particle in the
interval [0, 10]?
. A particle is moving so that its velocity is v(t) = 3t 2 − 30t...
. A particle is moving so that its velocity is v(t) = 3t 2 − 30t
+ 48 meters/min, where t is time in minutes.
a. Find the displacement (change in position) of the particle in
the first 12 minutes. Give units.
b. Find the total distance traveled by the particle in the first
12 minutes. Give units.
(Relativity) Draw the world line of a particle moving in the XY plane: a) Describing a...
(Relativity) Draw the world line of a particle moving in the XY
plane:
a) Describing a circle with constant speed V
b) Accelerating from the rest until reaching certain speed V
The vector position of a 3.70 g particle moving in the xy plane varies in time...
The vector position of a 3.70 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and
r
is in centimeters. At the same time, the vector position of a
5.80 g particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of
the system at t = 2.90 s.
rcm =
cm
(b)...
The vector position of a 3.95 g particle moving in the xy plane varies in time...
The vector position of a 3.95 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.70 g
particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)Determine the vector position (in cm) of the center of mass
of the system at t = 2.90 s.
rcm = cm
(b)Determine the...
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r1 = 3i + 3j t + 2jt2 where t is in
seconds and r is in centimeters. At the same time, the vector
position of a 5.00 g particle varies as r2 = 3i − 2it2 − 6jt. (a)
Determine the vector position of the center of mass at t = 2.40.
(b) Determine the linear momentum of the system at...
The vector position of a 3.05 g particle moving in the xy plane varies in time...
The vector position of a 3.05 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.15 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.60 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
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