A particle moves so that its position x metres at time t seconds is given by x = 2t³ - 18r. (il Calculate the position of the particle at times t = 0, 1, 2, 3 and 4. [ii] Draw a diagram showing the position of the particle at these times. (iii) Sketch a graph of the position against time. [iv] State the times when the particle is at the origin and describe the direction in which it is moving at those times.
A particle moves so that its position x metres at time t seconds is given by x = 2t³ - 18r. (il Calculate the position of the particle at times t = 0, 1, 2, 3 and 4. [ii] Draw a diagram showing the position of the particle at these times. (iii) Sketch a graph of the position against time. [iv] State the times when the particle is at the origin and describe the direction in which it is moving at those times.
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Transcribed Image Text:NEED EXPLANATION
A particle moves so that its position
x metres at time t seconds is given by
x = 2t³ - 18t.
(i) Calculate the position of the particle at
times t = 0, 1, 2, 3 and 4.
(ii) Draw a diagram showing the position of
the particle at these times.
(iii) Sketch a graph of the position against time.
(iv) State the times when the particle is at the
origin and describe the direction in which it
is moving at those times.
Answer:
(i) 0m, 16m, -20m, 0m,
56m.
-16
Position (m)
40
20
-20
0
0
56
4 Time
6)
livl t=0 moving backwards,
t = 3 moving forwards.
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