A bug crawls across a large window. The position of the bug is given by to following equation: x(t) = (0.300 m) + (0.125 m/s) t- (0.00620 m/s²) t² a. Find an expression for the velocity of the bug as a function of time. b. Find an expression for the acceleration of the bug as a function of time. c. Find the initial position, velocity and acceleration of the bug. d. At what time is the velocity of the bug zero? e. How long does it take for the bug to return to its starting point?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 55PQ
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A bug crawls across a large window. The position of the bug is given by to following equation:
x(t) = (0.300 m) + (0.125 m/s) t- (0.00620 m/s²) t²
a. Find an expression for the velocity of the bug as a function of time.
b.
Find an expression for the acceleration of the bug as a function of time.
c. Find the initial position, velocity and acceleration of the bug.
d. At what time is the velocity of the bug zero?
e. How long does it take for the bug to return to its starting point?
Transcribed Image Text:A bug crawls across a large window. The position of the bug is given by to following equation: x(t) = (0.300 m) + (0.125 m/s) t- (0.00620 m/s²) t² a. Find an expression for the velocity of the bug as a function of time. b. Find an expression for the acceleration of the bug as a function of time. c. Find the initial position, velocity and acceleration of the bug. d. At what time is the velocity of the bug zero? e. How long does it take for the bug to return to its starting point?
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