4. (5.0 pts) An object is moving on the x-y plane. The position of the object is given by x(t) = 4.0 t y(t) 14t+5.0 t² = where x and y are the coordinates of the object, and 7 is time. The units for distance and time are meters (m) and seconds (s), respectively. (a) Make a graph of the trajectory of the object in the x-y plane below for the time interval between 0 and 1 = 5 s. Show your work and justify your graph to receive full credit. (b) What is the magnitude and direction of the acceleration of the object at 1 = 3.0 s ? (c) Determine the numerical value of the x-coordinate where the trajectory crosses the x-axis.
4. (5.0 pts) An object is moving on the x-y plane. The position of the object is given by x(t) = 4.0 t y(t) 14t+5.0 t² = where x and y are the coordinates of the object, and 7 is time. The units for distance and time are meters (m) and seconds (s), respectively. (a) Make a graph of the trajectory of the object in the x-y plane below for the time interval between 0 and 1 = 5 s. Show your work and justify your graph to receive full credit. (b) What is the magnitude and direction of the acceleration of the object at 1 = 3.0 s ? (c) Determine the numerical value of the x-coordinate where the trajectory crosses the x-axis.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:4. (5.0 pts) An object is moving on the x-y plane. The position of the object is given by
x(t) = 4.0 t
y(t) 14t+5.0 t²
=
where x and y are the coordinates of the object, and 7 is time. The units for distance and
time are meters (m) and seconds (s), respectively.
(a) Make a graph of the trajectory of the object in the x-y plane below for the time interval
between 0 and 1 = 5 s.
Show your work and justify your graph to receive full credit.
(b) What is the magnitude and direction of the acceleration of the object at 1 = 3.0 s ?
(c) Determine the numerical value of the x-coordinate where the trajectory crosses the
x-axis.
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