Purchase Solution

Addition vector of two velocities

Not what you're looking for?

Ask Custom Question

When a truck creeps along in traffic at a speed of 5 m/s, a man walks diagonally across the back of the truck at 3m/s. To a traffic helicopter in a stationary position above the road the road, the man's apparent motion is the superposition of these two motions; that is, his apparent velocity is the vector sum of the two given velocities. If the directions are shown as below, find the magnitude and direction.

velocity man of truck = 3m/s (angle is 40 dg)
velocity on road = 5 m/s (angle is 15 degrees)

Purchase this Solution
Solution Summary

This solution is provided in 363 words. It uses a coordinate system and vector calculations to show the answer, and also provides another example of working with a vector problem.

Solution Preview

I want to set up these in a x,y or i, j orthonoraml coordinate system

I am assuming the angle from the i direction vector is given in the above description:
v man vector = 3 m/sec cos(40) i + 3 m/sec sin(40) j
Vtruck vector = 5m/sec cos(15) i+ 5 m/sec sin(15) j

Vtotal vector =
{3 m/sec cos(40) +5m/sec cos(15)} i + {3 m/sec sin(40) + 5 m/sec sin(15)}j

7.127762461 i + 3.222458055 ...

Purchase this Solution
Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • vector addition -velocities

    110327 vector addition -velocities A plane is headed eastward at a speed of 156 m/s. A 20 m/s wind is blowing southward at the same time as the plane is flying.

  • Motion of a Top

    At the instant shown, every point on the top is subjected to two angular velocities viz. ω1 = 0.6 rad/sec directed along z axis and ω2 = 8 rad/sec directed 45O with y axis.

  • Solving a Vector Polygon

    Direction of pf is given. B. The now known total momentum vector pf is the vector sum of the two momentum vectors M1 V1 and M2 V2 . The polygon must show the three connected vectors.

  • True/False: velocity, motion, gravity, mass

    True False The average velocity of a car traveling with a constant acceleration during a certain time interval is equal to the mean of the velocities at the beginning and end of that time interval.

  • 3 Problems related to Vectos: Force, Motion, currents

    The resultant of the two velocities is the actual velocity of the plane relative to the earth.

  • Boat leaves one bank of a river so as to arrive downstream across river.

    The actual velocity of a boat over the ground, is the vector sum of two velocities: the velocity of the river, and the velocity of the boat relative to the water. In this example, we can write: (2) vector S = vector W + vector B Step 3.

  • Advanced dynamics of a spinning disk

    Answer: Angular Velocity: The disk has two angular velocities, (1) about its own axis, passing through its center and (2) about the axis at a distance r = L+Lcos  Spinning frequency of the disc n1 = 1200 rev

  • Examination of the affect of an explosion on motion of carts

    Comparing the Velocities of the Carts Our apparatus of two carts, one of which has a spring- actuated plunger. The spring is compressed and the carts are placed together.

  • Resultant velocity of a rower crossing a river's current

    SOLUTION a. i)Velocity vector diagram The rower is subjected to two velocities simultaneously - the velocity of the river and his own rowing velocity. The rower will actually move in the direction of the resultant of these two velocities.

View More Related Solutions