Question

A flea walking along a ruler moves from the 45 cm mark to the 27 cm mark. It does this in 3 seconds. What is the speed? What is the velocity?

(Define increasing numbers to be the positive direction and decreasing numbers to be the negative direction.)

Answer #1

A proton moves along the x axis according to the equation x =
50t + 10t2, where x is in meters and t is in seconds.
For the time range, -8 s ≤ t ≤ 4s, answer the questions
below. Show all work and explain your answers.
a) Estimate the fathest distance this proton could move in the
negative direction of the x axis. What is the velocity at
the moment?
b) In this time range, find out when the...

While a person is walking, his arms (with typical lengths 70 cm
measured from the shoulder joint) swing through approximately a 45?
angle in 0.5 s. As a reasonable approximation, we can assume that
the arm moves with constant speed during each swing. Find the
magnitude of the force that the blood vessel must exert on the drop
of blood (In N). Find the direction of the force that the blood
vessel must exert on the drop of blood. What...

A beam of protons (proton mass is 1.67 x 10 - 27 kg) moves at 3
x 10 5 m/s through a uniform magnetic field with magnitude 2 T.
The magnetic field has exactly equal components along the positive
y and negative x axes and no component along the z axis. The
velocity of each proton lies in the xz- plane at an angle of 30
0 to the z- axis.
(a) Write the magnetic field B and the velocity...

1)A particle moves along the x axis. Its position is
given by the equation
x = 1.8 + 2.5t − 3.9t2
with x in meters and t in seconds.
(a) Determine its position when it changes direction.
(b) Determine its velocity when it returns to the position it had
at t = 0? (Indicate the direction of the velocity with the
sign of your answer.)
2)The height of a helicopter above the ground is given by
h = 3.10t3, where...

A particle's position is given by x = 7.00 - 15.00t + 3t2, in
which x is in meters and t is in seconds. (a) What is its velocity
at t = 1 s? (b) Is it moving in the positive or negative direction
of x just then? (c) What is its speed just then? (d) Is the speed
increasing or decreasing just then? (Try answering the next two
questions without further calculation.) (e) Is there ever an
instant when...

A particle's position is given by x = 12.0 - 9.00t + 3t2, in
which x is in meters and t is in seconds. (a) What is its velocity
at t = 1 s? (b) Is it moving in the positive or negative direction
of x just then? (c) What is its speed just then? (d) Is the speed
increasing or decreasing just then? (Try answering the next two
questions without further calculation.) (e) Is there ever an
instant when...

3. A particle
moves along
the x-‐axis
according to
the function
x= 7.0t4
+ 3.5t3,
where x
is in
meters and
t in
seconds. (8
marks)
3.1 Calculate the
displacement of
the particle
from time
t =
0s to
t =
2s of
its motion.
(1 mark)
3.2 Calculate
the average
velocity of
the particle
from time
t =
0s to
t =
2s of
its motion.
(1 mark)
3.3 Calculate
the instantaneous
velocities of
the particle
at t=3.0s ...

While a person is walking, his arms (with typical lengths 70 cm
measured from the shoulder joint) swing through approximately a 45
angle in 0.5 s. As a reasonable approximation, we can assume that
the arm moves with constant speed during each swing.
a. Find the magnitude of the force that the blood vessel must
exert on the drop of blood.
Express your answer using two significant figures.
b.
What force would the blood vessel exert if the arm were...

PLEASE ANSWER BOTH QUESTIONS!
(1) A 2.4 kg particle moves along an x axis, being
propelled by a variable force directed along that axis. Its
position is given by x = 3.0 m + (4.0 m/s)t +
ct2 - (1.8
m/s3)t3, with x in meters
and t in seconds. The factor c is a constant. At
t = 3.0 s, the force on the particle has a magnitude of 36
N and is in the negative direction of the axis....

An object of mass m moves along a guided horizontal path with a
speed given by v = vo + vasin(ωt) where t = time in seconds. The
constants are … vo = 5 m/sec va = 3 m/sec ω = π/4 rad/sec (Recall
rad/sec = 1/sec) m = 5 kg Find functions for the position,
acceleration, and force required to cause this acceleration as
functions of time. At time t = 0 … position xo = 0
Does someone...

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