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Question
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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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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