A particle has a velocity of (t) = 5ti+1.1t²j-2t³k S Assume all quantities are correct to 2 significant figures. (a) Calculate the acceleration as a function of time? (Note: write your coefficients in terms of the variable 't'.) Enter to 2 significant figures a(t) = + (b) What is the acceleration vector at t = 1.7 s in the unit vector notation? Enter to 2 significant figures a(1.7 s) = |a (1.7 s) |=| i+ + (c) What is the magnitude of the acceleration vector at t = 1.7 s? Enter to 2 significant figures m/s² m E% m

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 2P
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PLEASE ANSWER QUICKLT AND WILL RATE HIGHLY *15

A particle has a velocity of (t) = 5ti +1.1t²j-2t³k
Assume all quantities are correct to 2 significant figures.
(a) Calculate the acceleration as a function of time? (Note: write your coefficients in terms of the
variable 't'.)
Enter to 2 significant figures
a(t) =
+
(b) What is the acceleration vector at t = 1.7 s in the unit vector notation?
Enter to 2 significant figures
a (1.7 s) =
|a (1.7 s) | =
✔j+
(c) What is the magnitude of the acceleration vector at t = 1.7 s?
Enter to 2 significant figures
S
✓i+
✔m/s²
k
m
✓k
m
s²
Transcribed Image Text:A particle has a velocity of (t) = 5ti +1.1t²j-2t³k Assume all quantities are correct to 2 significant figures. (a) Calculate the acceleration as a function of time? (Note: write your coefficients in terms of the variable 't'.) Enter to 2 significant figures a(t) = + (b) What is the acceleration vector at t = 1.7 s in the unit vector notation? Enter to 2 significant figures a (1.7 s) = |a (1.7 s) | = ✔j+ (c) What is the magnitude of the acceleration vector at t = 1.7 s? Enter to 2 significant figures S ✓i+ ✔m/s² k m ✓k m s²
1. Calculating the Velocity Vector
The position function of a particle is r(t) = 2.0t² + (2.0 +3.0t)j +5.0tk m.
Assume all quantities are correct to 2 significant figures.
(a) What is the instantaneous velocity and speed at t = 2 s?
Enter to 2 significant figures
v (2 s) = 6.8
s(2 s) = 9.0
avg
XVi+ 3.0
= 6.2
m
(b) What is the average velocity between 1.2 s and 3 s?
Enter to 2 significant figures
X
S
✔j+5.0
+3
+5
ES
m
S
Transcribed Image Text:1. Calculating the Velocity Vector The position function of a particle is r(t) = 2.0t² + (2.0 +3.0t)j +5.0tk m. Assume all quantities are correct to 2 significant figures. (a) What is the instantaneous velocity and speed at t = 2 s? Enter to 2 significant figures v (2 s) = 6.8 s(2 s) = 9.0 avg XVi+ 3.0 = 6.2 m (b) What is the average velocity between 1.2 s and 3 s? Enter to 2 significant figures X S ✔j+5.0 +3 +5 ES m S
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