A particle is moving in the xy plane starting from the origin with an initial velocity in x of 15 meters per second and an initial velocity in y of – 10 meters per second. The object moves at constant velocity in x and constant acceleration in y. The acceleration in y is -1 m/s. (a) Determine the total velocity vector ū; at any time, t. (Ans: v7 = 15i – (10 + t)j) (b) Determine the position of the particle 7 at any time, t. (Ans: 7 = (15t)i – (10t +t²)j) What is the position of the particle after 5 seconds? (Ans.:r = 97.63 m, 0 = 39.81) DIN
A particle is moving in the xy plane starting from the origin with an initial velocity in x of 15 meters per second and an initial velocity in y of – 10 meters per second. The object moves at constant velocity in x and constant acceleration in y. The acceleration in y is -1 m/s. (a) Determine the total velocity vector ū; at any time, t. (Ans: v7 = 15i – (10 + t)j) (b) Determine the position of the particle 7 at any time, t. (Ans: 7 = (15t)i – (10t +t²)j) What is the position of the particle after 5 seconds? (Ans.:r = 97.63 m, 0 = 39.81) DIN
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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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![A particle is moving in the xy plane starting from the origin with an initial velocity in x
of 15 meters per second and an initial velocity in y of – 10 meters per second. The object
moves at constant velocity in x and constant acceleration in y. The acceleration in y is
-1 m/s.
(a) Determine the total velocity vector v; at any time, t. (Ans.: = 15i – (10 + t)j)
(b) Determine the position of the particle ř at any time, t.
(Ans.: 7 = (15t)i – (10t +÷t²)j)
What is the position of the particle after 5 seconds? (Ans.: r = 97.63 m, 0 = 39.81°)
RIN
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F876807ed-9c2c-43d4-b6f5-53a623948d32%2F5a18d580-9b01-4868-9390-784773535da2%2Frpznxla_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle is moving in the xy plane starting from the origin with an initial velocity in x
of 15 meters per second and an initial velocity in y of – 10 meters per second. The object
moves at constant velocity in x and constant acceleration in y. The acceleration in y is
-1 m/s.
(a) Determine the total velocity vector v; at any time, t. (Ans.: = 15i – (10 + t)j)
(b) Determine the position of the particle ř at any time, t.
(Ans.: 7 = (15t)i – (10t +÷t²)j)
What is the position of the particle after 5 seconds? (Ans.: r = 97.63 m, 0 = 39.81°)
RIN
%3D
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