Home Physics Motion in a Straight Line Mix The position of a particle moving along the …
Physics Motion in a Straight Line Mix MCQ (Single Correct)

The position of a particle moving along the
x-axis depends on the time according to the equation x = at2 – bt3, where x is in feet and t in second. For the following, let the numerical values of a and b be 3.0 and 1.0, respectively.

A
At what time does the particle reach its maximum positive x-position ?
B
What total length of path does the particle cover in the first 4.0 s ?
C
What is its displacement during the first
4.0 s ?
D
What is the particle’s speed at the end of each of the first four seconds ? (e) What is the particle’s acceleration at the end of each of the first four seconds ?

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Ans. t = 2 s 24 ft –16 ft 3 ft/s, 0, – 9 ft/s , –24 ft/s (e) 0, – 6 ft(s2), – 12ft/s2, – 18 ft/s2

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