6 The velocity of an object that moves in a straight line, v m s!. ts after passing through a fixed point O, is given by v= ht – kt, where h and k are constants. It is known that the object travels a 1 distance of 4m during the 3 first second and its deceleration is 2 m s2 when t=3. (a) Find the value of h and of k. (b) Given that the object moves with a velocity of 12 m s for the first time at A and for the second time at B, find the time taken by the object to move from A to B. Hence, if the object comes to instantaneous rest at point C, find the distance of BC. (c)
6 The velocity of an object that moves in a straight line, v m s!. ts after passing through a fixed point O, is given by v= ht – kt, where h and k are constants. It is known that the object travels a 1 distance of 4m during the 3 first second and its deceleration is 2 m s2 when t=3. (a) Find the value of h and of k. (b) Given that the object moves with a velocity of 12 m s for the first time at A and for the second time at B, find the time taken by the object to move from A to B. Hence, if the object comes to instantaneous rest at point C, find the distance of BC. (c)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:6 The velocity of an object that
moves in a straight line, v m s!.
ts after passing through a fixed
point O, is given by v= ht – kt²,
where h and k are constants. It is
known that the object travels a
1
distance of 4m during the
3
first second and its deceleration is
2 m s2 when t=3.
(a) Find the value of h and of k.
(b) Given that the object moves
with a velocity of 12 m s for
the first time at A and for the
second time at B, find the time
taken by the object to move
from A to B.
Hence, if the object comes to
instantaneous rest at point C,
find the distance of BC.
(c)
Transcribed Image Text:6 (a) h = 10, k = 2
(b) 1 s
%3D
14를 m
(c)
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