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Question
For any arbitrary motion in space, state whether the following statement is true:
`"r"("t") = "r"(0) + "v"(0)"t" + 1/2 "a" "t"^2 `
(The ‘average’ stands for average of the quantity over the time interval t1 to t2)
Options
True
False
Solution
This statement is False.
Explanation:
The particle's motion is arbitrary; the acceleration of the particle may also be non-uniform. Hence, this equation cannot represent the motion of a particle in space.
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