4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y- coordinates that vary with time: x = (3-2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero.

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
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4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point,
has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where
x and y are in meters and t is in seconds.
a. Find the average velocity of the robot between t = 0s and t = 2s.
b.
Find the average acceleration of the robot between t = 0s and t = 2s.
c. At what time the acceleration of the robot will be zero.
a. Vavg= -21 + 14ĵ m/s
b. davg = 22ĵ
C.
m
s²
2
t = = = 0.083 s
24
Transcribed Image Text:4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
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