7 A particle moves in a straight line and it passes through a fixed point O. Its velocity, v m s', t seconds after passing through O, is given by v=²+ kt + 8, where k is a constant. The acceleration of the particle after 4 seconds is 2 m s and the particle is instantaneously at rest at points P and Q. O Applying Analysing (a) Find the value of k. (b) Find (i) the times when the particle is at point P and point Q, (ii) the distance between points P and Q. ...... .

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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please help me do this the answers : a) - 6 b)i) 2,4 s ii) 4/3 m
7 A particle moves in a straight line
and it passes through a fixed point
O. Its velocity, v m s', t seconds
after passing through O, is given by
v=t²+ kt + 8, where k is a constant.
The acceleration of the particle
after 4 seconds is 2 m s and the
particle is instantaneously at rest at
points P and Q.
Applying Analysing
(a) Find the value of k.
(b) Find
(i) the times when the
particle is at point P and
point Q,
(ii) the distance between
points P and Q.
(c) Sketch the graph of v against i
for 0<1<6 and determine
the range of values of t when
Transcribed Image Text:7 A particle moves in a straight line and it passes through a fixed point O. Its velocity, v m s', t seconds after passing through O, is given by v=t²+ kt + 8, where k is a constant. The acceleration of the particle after 4 seconds is 2 m s and the particle is instantaneously at rest at points P and Q. Applying Analysing (a) Find the value of k. (b) Find (i) the times when the particle is at point P and point Q, (ii) the distance between points P and Q. (c) Sketch the graph of v against i for 0<1<6 and determine the range of values of t when
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