Physics
posted by Student12 .
A blue billiard ball with mass m crashes into a red billiard ball with the same mass that is at rest. The collision results in the blue billiard ball travelling with a velocity of v and the red billiard ball with a velocity of 3V. In terms of v and m determine the blue billiard ball's velocity before the collision.

Physics 
Steve
Let the man run to point P, which is x meters upstream from the line AB. He swims across, being swept y meters downstream, and then runs to B.
We know that he is in the water for d/(v/3) = 3d/v seconds, so
y = 3d/v * v = 3d.
His path is thus
√(d^2+x^2) meters on land,
d meters in the water,
√((2d)^2+(x3d)^2) meters on land to B
Now, dividing distance by speed, his time to travel is
t = 1/(3v) (√(d^2+x^2)+√((2d)^2+(x3d)^2)) + 3d/v
=
√(d^2+x^2)+√(x^26dx+13d^2)+9d

3v 
Physics 
Steve
Let the man run to point P, which is x meters upstream from the line AB. He swims across, being swept y meters downstream, and then runs to B.
We know that he is in the water for d/(v/3) = 3d/v seconds, so
y = 3d/v * v = 3d.
His path is thus
√(d^2+x^2) meters on land,
d meters in the water,
√((2d)^2+(x3d)^2) meters on land to B
Now, dividing distance by speed, his time to travel is
t = 1/(3v) (√(d^2+x^2)+√((2d)^2+(x3d)^2)) + 3d/v
=
√(d^2+x^2)+√(x^26dx+13d^2)+9d

3v
Respond to this Question
Similar Questions

chemistry
The kinetic energy of a rolling billiard ball is given by {\rm{KE}} = 1/2\,mv^2 . Suppose a 0.17{\rm kg} billiard ball is rolling down a pool table with an initial speed of 4.5 m/s. As it travels, it loses some of its energy as heat. … 
Physics
A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the … 
physics
A white billiard ball with mass mw = 0.1 kg is moving with a speed of v = 0.5 m/s making angle 60 degree and collides with a black billiard ball with the same mass mb = 0.1 kg that is initially at rest. The distance between the black … 
Chemistry/Physics
The kinetic energy of a rolling billiard ball is given by KE=1/2mv2. Suppose a 0.17kg billiard ball is rolling down a pool table with an initial speed of 4.7m/s . As it travels, it loses some of its energy as heat. The ball slows … 
Physics
1. A stationary curling stone is struck in a glancing collision by a second curling stone of equal mass. If the first stone moves away at a velocity of 0.92 m/s [N71oW] and the second stone moves away at a velocity of 1.25 m/s [N44oE], … 
Physics
I need physics help. I don't understand how to do these questions. Can someone show me what I should use? 
Physics
Please help me. I need physics help. I don't understand how to do these questions. Can someone show me what I should use? 
Physics help
Did i do number 2 and 3 correct? 2. A billiard ball (0.62 kg) with a velocity of 2.0 m/s [N] hits another ball and has a velocity of 1.7 m/s [E] after the collision. Determine the impulse on the ball and the average force exerted on 
Physics
A billiard cue ball having velocity of 5.0 cm/s and a mass 0.17 kg approaches a stationary red billiard ball of mass 0.16 kg. If the cue ball is stationary after their collision, what is the new velocity for the red ball? 
Physics
A billiard cue ball having velocity of 5.0 cm/s and a mass 0.17 kg approaches a stationary red billiard ball of mass 0.16 kg. If the cue ball is stationary after their collision, what is the new velocity for the red ball?