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15-16 The function s(t) describes the position of a particle moving along a coordinate line, where s is in meters and t is in seconds. (a) Make a table showing the position, velocity, and accelera- tion to two decimal places at times t = 1, 2, 3,4, 5. (b) At each of the times in part (a), determine whether the particle is stopped; if it is not, state its direction of motion. (c) At each of the times in part (a), determine whether the particle is speeding up, slowing down, or neither. 15. s(t) = sin 4 16. s(t) = t*e, t>0

15-16 The function s(t) describes the position of a particle moving along a coordinate line, where s is in meters and t is in seconds. (a) Make a table showing the position, velocity, and accelera- tion to two decimal places at times t = 1, 2, 3,4, 5. (b) At each of the times in part (a), determine whether the particle is stopped; if it is not, state its direction of motion. (c) At each of the times in part (a), determine whether the particle is speeding up, slowing down, or neither. 15. s(t) = sin 4 16. s(t) = t*e, t>0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#15 A-C

14. The accompanying figure shows the velocity versus time ing along a coordinate line, wheres is in me ogithe time intervals on which the particle is spe and on which it is slowing down; and then f verses the direction of its motion. graph for a test run on a Dodge Challenger. Using this verses the direction of its motion. Source: Data from Car and Driver Magazine, December 2010. (b) the time at which the maximum acceleration occurs. the time at which the particle first rever- in seconds. Use a graphing utility to genera (c) Use the appropriate graphs to make a rough e og s the time intervals on which the part 24. Let s(t) = t/e' be the position function of a pa (b) Find the exact position of the particle de when i of its motion; and then find the time e= (a) Use the appropriate graph to make a ro of s(t), v(t), and a(t) for t > 0, and use those (b) graph, estimate (a) the acceleration at 60 mi/h (in ft/s-) time intervals exactly. enter Source: Data from Car and Driver Magazine, March 2011. 100 120 80 oua u e 100 om olo 80 orlh lo 2o60 omit ato 60 needed. Sm (a) Use the appropriate graph to make . 40 20 20 0 5 (b) Find the exact position of the particle 10 15 20 25 05 10 15 20 25 30 Time t (s) Time t (s) A Figure Ex-13 (c) Use the appropriate graphs to make the time intervals on which the A Figure Ex-14 part 15-16 The function s(t) describes the position of a particle moving along a coordinate line, where s is in meters and t is in seconds. vaiool and on which it is slowing down: time intervals exactly. 01 (a) Make a table showing the position, velocity, and accelera- tion to two decimal places at times t = 25-32 A position function of a particle m nate line is given. Use the method of Exa motion of the particle for t> 0, and give the motion (as in Figure 4.6.8). = 1, 2, 3, 4, 5. (b) At each of the times in part (a), determine whether the particle is stopped; if it is not, state its direction of motion. (c) At each of the times in part (a), determine whether the particle is speeding up, slowing down, or neither. 25. s = -4t +3 26. s = 15. s(t) = sin 4 16. s(t) = t*e=', t>0 27. s =t = 13 – 9t2 + 24t 28. s = - | Velocity v (mi/h)
Transcribed Image Text:14. The accompanying figure shows the velocity versus time ing along a coordinate line, wheres is in me ogithe time intervals on which the particle is spe and on which it is slowing down; and then f verses the direction of its motion. graph for a test run on a Dodge Challenger. Using this verses the direction of its motion. Source: Data from Car and Driver Magazine, December 2010. (b) the time at which the maximum acceleration occurs. the time at which the particle first rever- in seconds. Use a graphing utility to genera (c) Use the appropriate graphs to make a rough e og s the time intervals on which the part 24. Let s(t) = t/e' be the position function of a pa (b) Find the exact position of the particle de when i of its motion; and then find the time e= (a) Use the appropriate graph to make a ro of s(t), v(t), and a(t) for t > 0, and use those (b) graph, estimate (a) the acceleration at 60 mi/h (in ft/s-) time intervals exactly. enter Source: Data from Car and Driver Magazine, March 2011. 100 120 80 oua u e 100 om olo 80 orlh lo 2o60 omit ato 60 needed. Sm (a) Use the appropriate graph to make . 40 20 20 0 5 (b) Find the exact position of the particle 10 15 20 25 05 10 15 20 25 30 Time t (s) Time t (s) A Figure Ex-13 (c) Use the appropriate graphs to make the time intervals on which the A Figure Ex-14 part 15-16 The function s(t) describes the position of a particle moving along a coordinate line, where s is in meters and t is in seconds. vaiool and on which it is slowing down: time intervals exactly. 01 (a) Make a table showing the position, velocity, and accelera- tion to two decimal places at times t = 25-32 A position function of a particle m nate line is given. Use the method of Exa motion of the particle for t> 0, and give the motion (as in Figure 4.6.8). = 1, 2, 3, 4, 5. (b) At each of the times in part (a), determine whether the particle is stopped; if it is not, state its direction of motion. (c) At each of the times in part (a), determine whether the particle is speeding up, slowing down, or neither. 25. s = -4t +3 26. s = 15. s(t) = sin 4 16. s(t) = t*e=', t>0 27. s =t = 13 – 9t2 + 24t 28. s = - | Velocity v (mi/h)
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