Question

A particle is moving along the graph of y = sqrt(x). When x = 9
the y-component of the

position of the particle is increasing at a rate of 1 centimeter
per second.

How fast is the x-component changing at this moment?

How fast is the distance from the origin changing at this moment?

How fast is the angle of inclination q changing at this moment?

Answer #1

A particle with charge Q is on the y axis a distance A from the
origin and another particle with charge q is on the x axis a
distance D from the origin. The value of D for which the x
component of the force on the second article is the greatest
is:
A)0
B) A
C) Sqrt(2)A
D) A/2
E) A/sqrt 2

The velocity-time graph of a particle moving along the x-axis is
shown. The particle has zero velocity at t = 0.00 s and reaches a
maximum velocity, vmax, after a total
elapsed time, ttotal. If the initial
position of the particle is x0 = 7.29 m, the
maximum velocity of the particle is
vmax = 11.3 m/s, and the total elapsed
time is ttotal = 25.0 s, what is the
particle's position at t = 16.7 s?
b. At t...

The position of a particle moving along the x axis
depends on the time according to the equation x =
ct2 − bt3, where x
is in meters and t in seconds.
For the following, let the numerical values of c and
b be 5.1 and 1.5, respectively. (For vector quantities,
indicate direction with the sign of your answer.)
(c) At what time does the particle reach its maximum positive
x position? From t = 0.0 s to t =...

A particle moving along the x axis in simple harmonic motion
starts from its equilibrium position, the maximum value, at t = 0,
moving to the right. The amplitude of the motion is 2.00 cm and the
frequency is 1.50 Hz. (a) Find an expression for the position of
the particle as a function of time. Determine (b) the maximum speed
of the particle and (c) the earliest time (t > 0) at which the
particle has this speed. Find...

A small aerial vehicle moving in the +x direction reduces its
altitude at a constant rate of .5 m/s as it travels along a path
described for a short distance by the equation y=100/x^(.2). Where
x and y are in m. When x=50m, find; a) the vehicles speed b) how
fast the vehicle's speed is changing in time, and c) the vehicles
acceleration perpendicular to its flight path.

Two charged particles are moving with equal velocities of 2.40
m/s in the +x-direction. At one instant of time the first particle
with a charge of 6.20 μμC is located at x = 0 and y = +6.00 cm, and
the second particle with a charge of 2.00 μμC is located at x = 0
and y = -6.00 cm.
a) What is the y-component of the magnetic force on the first
particle due to the second?
b) How fast...

The position of a particle moving along the x axis is
given in centimeters by x = 9.31 + 1.02
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the instantaneous
velocity when the particle is...

The position of a particle moving along the x axis is
given in centimeters by x = 9.58 + 1.68
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the instantaneous
velocity when the particle is...

The position of a particle moving along the x axis is given in
centimeters by x = 9.16 + 1.52 t3, where t is in seconds. Calculate
(a) the average velocity during the time interval t = 2.00 s to t =
3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the
instantaneous velocity at t = 3.00 s; (d) the instantaneous
velocity at t = 2.50 s; and (e) the instantaneous velocity when the
particle is...

The position of a particle moving along the x axis is
given in centimeters by x = 9.18 + 1.66
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the instantaneous
velocity when the particle is...

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