A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 50i+ 80k, with speed measured in feet per second. The spin of the ball results in a sounthward acceleration of 4f t/s^2 , so the accelearation vector is a = −4j − 32k. Where does the ball land and with what speed?

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 50i+ 80k, with speed measured in feet per second. The spin of the ball results in a sounthward acceleration of 4f t/s^2 , so the accelearation vector is a = −4j − 32k. Where does the ball land and with what speed?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

See similar textbooks

Similar questions

Write the vector A = 2z1-xi + yk in cylindrical coordinates.
Find two orthogonal vectors in the plane x + y + 2z = 0. Make them orthonormal.
A vector with magnitude 4 points in a direction 265 degrees counterclockwise from the positive x axis.
An eagle rises in a helical path given by the vector function r(t) =〈250cost, 250sint, 100t〉 where r is measured in feet and t is measured in minutes. How far does it travel in 10 minutes? Find the eagle’s velocity and acceleration vectors when it is directly above its starting position for the first time.
Find the linear equation of the plane through the point (2, −2, 6) and with normal vector j+2k.
Find the vector equation of the plane taking into account that 4x - y - z = 3
If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by F=qv×B.�=��×�. In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering. Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the direction