Question

Two particles are moving in the xy-plane. They move along straight lines at a constant speed....

Two particles are moving in the xy-plane. They move along straight lines at a constant speed. At time t, particle A's position is given by x = t + 4, y = 1/2t-7 and particle B's position is given by x = 18 − 2t, y = 5 − 1/3t. Find the time (i.e., the value of t) at which the distance between A and B is minimal.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider two particles moving in the xyxy-plane according to parametric equations. At time tt, the position...
Consider two particles moving in the xyxy-plane according to parametric equations. At time tt, the position of particle A is given by x(t) = 2t-3, y(t) = t^2-3t-5x Let kk be some real number. At time tt, the position of particle B is given by x(t) = 4t+3, y(t) = 2t+k^2x Think about the curve traced out by the movement of particle A. Find the equation of the tangent line to the curve at t=4t=4. Give your answer in slope-intercept...
In the instant of the figure, two particles move in an xy plane. Particle P1 has...
In the instant of the figure, two particles move in an xy plane. Particle P1 has mass 5.72 kg and speed v1 = 9.82 m/s, and it is at distance d1 = 9.63 m from point O. Particle P2 has mass 2.07 kg and speed v2 = 6.97 m/s, and it is at distance d2 = 7.66 m from point O. What is the magnitude of the net angular momentum of the two particles about O?
Maggie is moving in an xy-plane, with coordinates in meters. She moves at the constant speed...
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.
Two particles move along an x axis. The position of particle 1 is given by x...
Two particles move along an x axis. The position of particle 1 is given by x = 10.0t2 + 6.00t + 4.00 (in meters and seconds); the acceleration of particle 2 is given by a = -9.00t (in meters per seconds squared and seconds) and, at t = 0, its velocity is 24.0 m/s. When the velocities of the particles match, what is their velocity?
Three particles are fixed in positions on the xy plane. Particle A, with a mass of...
Three particles are fixed in positions on the xy plane. Particle A, with a mass of 6.00 g, is located at the origin. Particle B, with a mass of 12.0 g, is located in the second quadrant a distance 0.500 m from the origin at an angle of 30◦ from the x axis. Particle C has a mass of 8.00 g. The net gravitational force acting on particle A due to particles B and C is 2.77 × 10−14 N...
If the velocity at time t for a particle moving along a straight line is proportional...
If the velocity at time t for a particle moving along a straight line is proportional to the square root of its position x, write a differential equation that fits this description
If the velocity at time t for a particle moving along a straight line is proportional...
If the velocity at time t for a particle moving along a straight line is proportional to the square root of its position x, write a differential equation that fits this description.
Robin is moving on the xy-plane according to the rule (x, y) = (-3 + 8t,...
Robin is moving on the xy-plane according to the rule (x, y) = (-3 + 8t, 5 + 6t), with distance measured in km and time in hours. Casey is following 20 km behind on the same path at the same speed. Write parametric equations describing Casey's position. What if Casey was following 17 km behind?
A particle moves in the xy plane, starting from the origin at t=0 with an initial...
A particle moves in the xy plane, starting from the origin at t=0 with an initial velocity having an x-component of 6 m/s and y component of 5 m/s. The particle experiences an acceleration in the x-direction, given by ax=4t m/s2. Determine the acceleration vector at any later time. Determine the total velocity vector at any later time Calculate the velocity and speed of the particle at t=5.0 s, and the angle the velocity vector makes with the x-axis. Determine...
Juliet and Mercutio are moving at constant speeds in the xy-plane. They start moving at the...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT