The velocity of a particle is given by v = [15t²i + 5t³j+ (6t + 2)k] m/s, where t is in seconds. If the particle is at the origin when t = 0, determine: 1. The particle's acceleration when t = 4 secs. 2. The particle's position at that instant. 3. The particle's coordinates at that instant.

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section: Chapter Questions
Problem 19E: A person drives a car around a circular, level cloverleaf with a radius of 70 m at a uniform speed...
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The velocity of a particle is given by v = [15t²i + 5t°j+(6t +2)k] m/s, where t is in seconds. If the particle is at the
origin when t = 0, determine:
1. The particle's acceleration when t = 4 secs.
2. The particle's position at that instant.
3. The particle's coordinates at that instant.
Transcribed Image Text:The velocity of a particle is given by v = [15t²i + 5t°j+(6t +2)k] m/s, where t is in seconds. If the particle is at the origin when t = 0, determine: 1. The particle's acceleration when t = 4 secs. 2. The particle's position at that instant. 3. The particle's coordinates at that instant.
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