The position of a particle moving along the x axis is given in centimeters by x = 9.10 + 1.27 t³, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity att = 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t= 2.00 s andt = 3.00 s.
The position of a particle moving along the x axis is given in centimeters by x = 9.10 + 1.27 t³, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity att = 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t= 2.00 s andt = 3.00 s.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 84A
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The position of a particle moving along the x axis is given in centimeters by x = 9.10 + 1.27 t3, where tis in
seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous
velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t= 2.50 s; and
(e) the instantaneous velocity when the particle is midway between its positions at t= 2.00 s and t= 3.00 s.
(a) Number
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
(e) Number
i
Units
()](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee8f227f-44e4-4078-b339-a9aa131322cd%2F7808ee20-d1d5-4906-a6ff-1a00dacf3dd8%2Fwif53fv_processed.jpeg&w=3840&q=75)
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The position of a particle moving along the x axis is given in centimeters by x = 9.10 + 1.27 t3, where tis in
seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous
velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t= 2.50 s; and
(e) the instantaneous velocity when the particle is midway between its positions at t= 2.00 s and t= 3.00 s.
(a) Number
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
(e) Number
i
Units
()
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In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis.
At time t= 0, the red car is at x, = 0 and the green car is at xg = 215 m. If the red car has a constant velocity of
27.0 km/h, the cars pass each other at x = 43.0 m. On the other hand, if the red car has a constant velocity of
54.0 km/h, they pass each other at x = 76.4 m. What are (a) the initial velocity and (b) the (constant)
acceleration of the green car? Include the signs.
(a) Number
i
Unit
(b) Number
i
Unit
()](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee8f227f-44e4-4078-b339-a9aa131322cd%2F7808ee20-d1d5-4906-a6ff-1a00dacf3dd8%2F8aq2vv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:46 4:05 O O
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In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis.
At time t= 0, the red car is at x, = 0 and the green car is at xg = 215 m. If the red car has a constant velocity of
27.0 km/h, the cars pass each other at x = 43.0 m. On the other hand, if the red car has a constant velocity of
54.0 km/h, they pass each other at x = 76.4 m. What are (a) the initial velocity and (b) the (constant)
acceleration of the green car? Include the signs.
(a) Number
i
Unit
(b) Number
i
Unit
()
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