Question

Juliet and Mercutio are moving at constant speeds in the
*xy*-plane. They start moving at the same time. Juliet
starts at the point (0, −2) and heads in a straight line toward the
point (10, 1), reaching it in 10 seconds. Mercutio starts at (9,
−16) and moves in a straight line. Mercutio passes through the same
point on the *x*-axis as Juliet, but 2 seconds after she
does.

How long does it take Mercutio to reach the *y*-axis?
(Round your answer to three decimal places.) ____ sec.

Answer #1

Maggie is moving in an xy-plane, with coordinates in meters. She
moves at the constant speed of of 6 meters per second.She starts at
the point (12,3) and heads toward the y axis along the line
y=1/3x-1.
A. Give Maggies parametric equations of motion.
B. Give an expression for the distance from Maggie's location to
the origin t second after she starts moving.

1. A car moving with over-speed limit constant speed 31.7 m/s
passes a police car at rest. The police car immediately takes off
in pursuit, accelerating with 10.1 m/s^2. How long does it take for
police overtake the speeder?
2. A car moving with over-speed limit constant speed 31.8 m/s
passes a police car at rest. The police car immediately takes off
in pursuit, accelerating with 9.6 m/s^2. How far from initial point
police car will reach the speeder?
3....

Two particles are moving toward each other along the x axis with
equal speeds. Specifically, particle 1 of mass 7 kg moves to the
right at 3.87 m/s and particle 2 of mass 15 kg moves to the left at
the same speed. The particles collide elastically. After the
collision, the ﬁrst particle moves at 90◦ to its original direction
while the second particle is deﬂected through a smaller angle θ2
< 90◦.
A) Find the final speed of particle...

A proton (charge +1.60×10−19C) and an electron (charge
-1.60×10−19C) are both moving in the xy-plane with the same speed,
5.20×105m/s. The proton is moving in the +y-direction along the
line x = 0, and the electron is moving in the -y-direction along
the line x = +3.00 mm. At the instant when the proton and electron
are at their closest approach, what is the magnitude of the
magnetic force that the proton exerts on the electron? At the
instant when...

The vector position of a 3.80 g particle moving in the xy plane
varies in time according to
r (with arrow)1 = (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 5.45 g particle varies as r (with arrow)2 = 3i − 2it2 −
6jt.
(a) Determine the vector position of the center of mass at
t = 2.90.
(b) Determine the linear...

A proton (charge +1.60×10−19C) and an electron (charge
-1.60×10−19C) are both moving in the xy-plane with the same speed,
5.20×105m/s. The proton is moving in the +y-direction along the
line x = 0, and the electron is moving in the -y-direction along
the line x = +3.00 mm. At the instant when the proton and electron
are at their closest approach, what is the magnitude of the
magnetic force that the proton exerts on the electron?
At the instant when...

2. A moving police car plays a sound with constant frequency f0.
The police car moves
from the stationary observer on the right, R, towards the
stationary observer on the
left, L. How does the frequency, fL , observed by the observer
on the left compare to
the frequency, fR , observed on the right?
(a) fL > fR
(b) fL < fR
(c) fL = fR
3. A speaker at rest plays a sound with constant frequency f0
near...

1. A skier is gliding along at 3.0 m/s on horizontal,
frictionless snow. He suddenly starts down a 16 ∘ incline. His
speed at the bottom is 16 m/s .
a) What is the length of the incline?
b) How long does it take him to reach the bottom?
2.The Gulf Stream off the east coast of the United States can flow
at a rapid 3.7 m/s to the north. A ship in this current has a
cruising speed of...

Imagine that you are moving to a new city after you graduate to
start a job. You are deciding how much of your paycheck to use for
housing (call this H) and how much to save for other spending (call
this S). Your utility function is U ( H , S ) = H 0.5 ⋅ S. Housing
is measured in square feet, and the cost per square foot is p h.
Saving is measured in terms of dollars and...

1.
Three charges are fixed to an xy coordinate system. A charge of
+22C is on the y axis at y = +4.1 m. A charge of -14C is at the
origin. Lastly, a charge of +45C is on the x axis at x = +4.1 m.
Determine (a) the magnitude and (b) direction of the net
electrostatic force on the charge at x = +4.1 m. Specify the
direction as a positive angle relative to the +x axis.
(a)...

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