3 The position of a particle moving along a straight horizontal groove is given by x = 2 + t(t-3) for 0 < t < 5 where x is measured in metres and t in seconds. (i) What is the position of the particle at times t = 0, 1, 1.5, 2, 3, 4 and 5? [ii] Draw a diagram to show the path of the particle, marking its position at these times. (ii) Find the displacement of the particle relative to its initial position at these times.
3 The position of a particle moving along a straight horizontal groove is given by x = 2 + t(t-3) for 0 < t < 5 where x is measured in metres and t in seconds. (i) What is the position of the particle at times t = 0, 1, 1.5, 2, 3, 4 and 5? [ii] Draw a diagram to show the path of the particle, marking its position at these times. (ii) Find the displacement of the particle relative to its initial position at these times.
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![NEED EXPLANATION
3 The position of a particle moving along a
straight horizontal groove is given by
x = 2 + t(t-3) for 0 ≤ t ≤5 where x is
measured in metres and t in seconds.
(i) What is the position of the particle at times
t = 0, 1, 1.5, 2, 3, 4 and 5?
(ii) Draw a diagram to show the path of the
particle, marking its position at these times.
[iii] Find the displacement of the particle
relative to its initial position at these times.
(iv) Calculate the total distance travelled during
the motion.
ANSWERS:-
i 2m, 0m, -0.25 m, 0m,
2m, 6m, 12m
1=1,2 =0,3 1=4
, 15,
1=5
4 6 8 10 12 x (m)
[iii] 0m, -2m, -2.25 m,
-2m, 0m, 4m, 10m
(iv) 14.5m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6953344f-5ace-41a8-b589-ccd4dbc91a20%2F31e649c4-9fa0-475e-9674-775c66c06287%2Fcg0pnzs_processed.png&w=3840&q=75)
Transcribed Image Text:NEED EXPLANATION
3 The position of a particle moving along a
straight horizontal groove is given by
x = 2 + t(t-3) for 0 ≤ t ≤5 where x is
measured in metres and t in seconds.
(i) What is the position of the particle at times
t = 0, 1, 1.5, 2, 3, 4 and 5?
(ii) Draw a diagram to show the path of the
particle, marking its position at these times.
[iii] Find the displacement of the particle
relative to its initial position at these times.
(iv) Calculate the total distance travelled during
the motion.
ANSWERS:-
i 2m, 0m, -0.25 m, 0m,
2m, 6m, 12m
1=1,2 =0,3 1=4
, 15,
1=5
4 6 8 10 12 x (m)
[iii] 0m, -2m, -2.25 m,
-2m, 0m, 4m, 10m
(iv) 14.5m
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