The position vector of a moving particle at time t is r= 3i^+4tj^ - tk^ its displacement during the time interval t= 1s to t=3s is
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Displacement = 2
Explanation:
The position vector of a moving particle at time t is r= 3i^+4tj^ - tk^ its displacement during the time interval t= 1s to t=3s is
r = 3i + 4j - tk
at t = 1
r1 = 3i + 4j - k
at t = 3
r3 = 3i + 4j - 3k
Displacemnet during the interval t = 1sec to 3 sec
= r3 - r1
= (3i + 4j - 3k) - (3i + 4j - k)
= 0i + 0j - 2k
Displacement = √0² + 0² + (-2)² = √4 = 2
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