The vector position of a particle varies in time according to the expression 6.80 î – 8.80t² j where is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) (c) Calculate the particle's position and velocity at t = 2.0 s. A bus driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drive northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) (b) average speed (in m/s) (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)

The vector position of a particle varies in time according to the expression 6.80 î – 8.80t² j where is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) (c) Calculate the particle's position and velocity at t = 2.0 s. A bus driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drive northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) (b) average speed (in m/s) (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 13OQ: Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector...

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