4/A particle P starts to move from a fixed point O along a straight line. Its velocity, v ms', is given by v = 16- 2t- 3t, where t is the time in seconds after the particle has left O. Particle Q moves in the same straight line, starting from O with a velocity of 6 m s at the instant the particle P passes through point O. Particle Q moves with an acceleration of a ms² which is given by a = 4t – 8. Find (a) the velocity of particle P when it passes through point O for the first time, (b) the time when particle P reverses its direction, (c) the total distance travelled by particle Pin the first 3 seconds,

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) 16 b) 2 s c) 28 m d) - 2
4/A particle P starts to move from a
fixed point O along a straight line.
Its velocity, v ms', is given by v =
16-2t-3t, where t is the time in
seconds after the particle has left
O. Particle Q moves in the same
straight line, starting from O with a
velocity of 6 m s at the instant the
particle P passes through point O.
Particle Q moves with an
acceleration of a ms2 which is
given by a = 4t – 8. Find
(a) the velocity of particle P
when it passes through point
O for the first time,
(b) the time when particle P
reverses its direction,
(c) the total distance travelled by
particle P in the first 3
seconds,
(d) the velocity of particle Q
when the displacement of
particle Pis a maximum.
Transcribed Image Text:4/A particle P starts to move from a fixed point O along a straight line. Its velocity, v ms', is given by v = 16-2t-3t, where t is the time in seconds after the particle has left O. Particle Q moves in the same straight line, starting from O with a velocity of 6 m s at the instant the particle P passes through point O. Particle Q moves with an acceleration of a ms2 which is given by a = 4t – 8. Find (a) the velocity of particle P when it passes through point O for the first time, (b) the time when particle P reverses its direction, (c) the total distance travelled by particle P in the first 3 seconds, (d) the velocity of particle Q when the displacement of particle Pis a maximum.
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