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ERCISE 19C.2 A particle has velocity function v(t) =1-2t cm s-1 is initially 2 cm to the right of O. Write a formula for the displacement function (s(t), as it moves in a straight line. The particle b Find the total distance travelled in the first second of motion. c Find the displacement of the particle at the end of one second.

ERCISE 19C.2 A particle has velocity function v(t) =1-2t cm s-1 is initially 2 cm to the right of O. Write a formula for the displacement function (s(t), as it moves in a straight line. The particle b Find the total distance travelled in the first second of motion. c Find the displacement of the particle at the end of one second.

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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Tmai postion Original position edsia = s(4) - s(0) = c+5-c = 5 m So, the displacement is 5 m to the right. EXERCISE 19C.2 1A particle has velocity function v(t) =1-2t cms-1 is initially 2 cm to the right of O. Write a formula for the displacement function (s(t)) as it moves in a straight line. The particle Find the total distance travelled in the first second of motion. cFind the displacement of the particle at the end of one second. Particle P is initially at the origin O. It moves with the velocity function v(t) = t2-t-2 cms . a Write a formula for the displacement function s(t). b Find the total distance travelled in the first 3 seconds of motion. e Find the displacement of the particle at the end of three seconds. Sier The velocity of a moving object is given by v(t) = 32+4t ms . %3D a If s 16 m when t 0 seconds, find the displacement function. ° Explain why the displacement of the object and its total distance travelled in the interval 0<t<t1, can' both be represented by the definite integral (32+44) dt.
Transcribed Image Text:Tmai postion Original position edsia = s(4) - s(0) = c+5-c = 5 m So, the displacement is 5 m to the right. EXERCISE 19C.2 1A particle has velocity function v(t) =1-2t cms-1 is initially 2 cm to the right of O. Write a formula for the displacement function (s(t)) as it moves in a straight line. The particle Find the total distance travelled in the first second of motion. cFind the displacement of the particle at the end of one second. Particle P is initially at the origin O. It moves with the velocity function v(t) = t2-t-2 cms . a Write a formula for the displacement function s(t). b Find the total distance travelled in the first 3 seconds of motion. e Find the displacement of the particle at the end of three seconds. Sier The velocity of a moving object is given by v(t) = 32+4t ms . %3D a If s 16 m when t 0 seconds, find the displacement function. ° Explain why the displacement of the object and its total distance travelled in the interval 0<t<t1, can' both be represented by the definite integral (32+44) dt.
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