A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s ĵ. The acceleration is given by the vector a = 9.0 m/s? î + 5 m/s? j. (a) Find the velocity vector at t = 7.0 s. 72 v m/s) î + ( 45 m/s) j (b) Find the position vector at t = 4.0 s. (133 x m) î + ( 40 |× m)j (c) Give the magnitude and direction of the position vector in part (b). 19289 X m 16.74 ° (counterclockwise from the +x-axis) The acceleration is constant so you can use the constant-acceleration equations in vector form.

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
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 4OQ: What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of...
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A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s j. The
acceleration is given by the vector a = 9.0 m/s2 î + 5 m/s2 j.
(a) Find the velocity vector at t = 7.0 s.
(72
V m/s) î + ( 45
v m/s) j
(b) Find the position vector at t = 4.0 s.
(133
x m) î + (40
X m) j
(c) Give the magnitude and direction of the position vector
part (b).
X m
X ° (counterclockwise from the +x-axis)
19289
16.74
The acceleration is constant so you can use the constant-acceleration equations in vector form.
eBook
Transcribed Image Text:A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s j. The acceleration is given by the vector a = 9.0 m/s2 î + 5 m/s2 j. (a) Find the velocity vector at t = 7.0 s. (72 V m/s) î + ( 45 v m/s) j (b) Find the position vector at t = 4.0 s. (133 x m) î + (40 X m) j (c) Give the magnitude and direction of the position vector part (b). X m X ° (counterclockwise from the +x-axis) 19289 16.74 The acceleration is constant so you can use the constant-acceleration equations in vector form. eBook
Expert Solution
Step 1

Given:

The position of the particle is x=5.0 m and y=4.0 m.

The velocity vector is 9.0 m/si^+10.0 m/sj^.

The acceleration vector is 9.0 m/s2i^+5 m/s2.

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