A particle with mass 0.5 kg is moving in x-y plane. Its velocity is described as a function of time v(t) = (3î – 4t), t 2 0. The unit of t is second and the unit of velocity is meter per second. Find (a) the initial velocity of the particle. (b) the magnitude of the acceleration of the particle at t = 5s. (c) the displacement of the particle at t = 5s. (d) the net force on the particle and its direction at t = 5s. (e) the power obtained by the particle as a function of time.

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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A particle with mass 0.5 kg is moving in x-y plane. Its velocity is described as a function of
time v(t) = (3{ – 4tj), t > 0. The unit oft is second and the unit of velocity is meter per
second. Find
(a) the initial velocity of the particle.
(b) the magnitude of the acceleration of the particle at t = 5s.
(c) the displacement of the particle at t = 5s.
(d) the net force on the particle and its direction at t = 5s.
(e) the power obtained by the particle as a function of time.
Transcribed Image Text:A particle with mass 0.5 kg is moving in x-y plane. Its velocity is described as a function of time v(t) = (3{ – 4tj), t > 0. The unit oft is second and the unit of velocity is meter per second. Find (a) the initial velocity of the particle. (b) the magnitude of the acceleration of the particle at t = 5s. (c) the displacement of the particle at t = 5s. (d) the net force on the particle and its direction at t = 5s. (e) the power obtained by the particle as a function of time.
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