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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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