3. An object's position as a function of time is given by the following formula: f(t) = {(0.25 m/s³)t³ + (15 m)} î + {(0.99 m/s²)t² - (6.5 m)} j a. What is the x-component of the object's average velocity for the interval from t = 0 to t = 3.0 seconds? b. What is the y-component of the objects instantaneous velocity at t = 5.0 s? c. What is the y-component of the objects average acceleration for the interval from t = 0.50 s to t = 2.7 seconds? d. What is the x-component of the object's instantaneous acceleration at t = 1.8 seconds?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 4.47P: A police car traveling at 95.0 km/h is traveling west, chasing a motorist traveling at 80.0 km/h....
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3. An object's position as a function of time is given by the following formula:
f(t) = {(0.25 m/s³)t³ + (15 m)} î + {(0.99 m/s²)t² - (6.5 m)} j
a.
What is the x-component of the object's average velocity for the interval from t = 0 to
t = 3.0 seconds?
b. What is the y-component of the objects instantaneous velocity at t = 5.0 s?
c.
What is the y-component of the objects average acceleration for the interval from t = 0.50 s
to t = 2.7 seconds?
d.
What is the x-component of the object's instantaneous acceleration at t = 1.8 seconds?
Transcribed Image Text:3. An object's position as a function of time is given by the following formula: f(t) = {(0.25 m/s³)t³ + (15 m)} î + {(0.99 m/s²)t² - (6.5 m)} j a. What is the x-component of the object's average velocity for the interval from t = 0 to t = 3.0 seconds? b. What is the y-component of the objects instantaneous velocity at t = 5.0 s? c. What is the y-component of the objects average acceleration for the interval from t = 0.50 s to t = 2.7 seconds? d. What is the x-component of the object's instantaneous acceleration at t = 1.8 seconds?
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