The position of a particle as a function of time t, with t> 0 and expressed in seconds is given by: 7(t) = [(66t – 120)î + (1.2 + 31.7t – 8.71t²)f] m a) Determine the slope 0 of the trajectory of the car for t1 = 1 sec. and 13 = 3 sec. b) Determine the angle a between velocity and acceleration of the car at tị and t3. c) Argue whether the speed of the car is increasing or decreasing at tị and t3 d) Calculate the rate by which the velocity is increased or decreased at f1. e) Determine the radius of curvature of the path at t1. f) Write down the expressions of the unit vectors: (ê, ên) and (êr, êg) in terms of î and ĵ.

The position of a particle as a function of time t, with t> 0 and expressed in seconds is given by: 7(t) = [(66t – 120)î + (1.2 + 31.7t – 8.71t²)f] m a) Determine the slope 0 of the trajectory of the car for t1 = 1 sec. and 13 = 3 sec. b) Determine the angle a between velocity and acceleration of the car at tị and t3. c) Argue whether the speed of the car is increasing or decreasing at tị and t3 d) Calculate the rate by which the velocity is increased or decreased at f1. e) Determine the radius of curvature of the path at t1. f) Write down the expressions of the unit vectors: (ê, ên) and (êr, êg) in terms of î and ĵ.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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