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a. If the velocity of a body is zero, do...

a. If the velocity of a body is zero, does it mean that its acceleration is also zero ? (Yes//No)
b. If the acceleration of a body is zero does it mean that its velocity is also zero ? (Yes//No)
c. If a body travels with uniform acceleration `a_(1)` for a time `t_(2)` thenthe average acceleration is given by
`a_(av) =(a_(1)t_(1)+a_(2)t_(2))/(t_(1)+t_(2) (Yes//No)
d. If a body starts from rest and moves with uniform acceleration the displacemects of the body is `1 s`,
`2 s, 3 s`, etc., are in the ration of (1: 4: 9), etc. (True//False)`
e. For a body moving whith uniform acceleration, the displacent of the bosy in successive seconds is in the ration of `1: 3: 5: 7`.........................(True//False) .

Text Solution

Verified by Experts

(a) No, if the velocity of a body is zero, there may be acceleration in the body. For example, a body is zero, a body at its heighst point during vertical motion.
(b) No, if the accleration of a body is zero, its velocity may be constant or zero.
(c) Yes, change in velocity =acceleration`xx` time, and average acceleration =change in velocity //time
(d) True, here `u=0, s=ut+(1)/(2)at^(2)=(1)/(2) at^(2) rArr s propt^(2)`
(e) True, `D_(n)=u+(a)/(2)(2n-1) rArr D_(n) prop(2n-1)`.
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Knowledge Check

  • A car starts from rest moves with uniform acceleration a_(1) for t_(1) second and then retards uniformly at a rate a_(2) for t_(2) second. Then t_(1)//t_(2) is equal to

    A
    `a_(1)//a_(2)`
    B
    `a_(2)//a_(1)`
    C
    `a_(2)^(2)//a_(1)`
    D
    `2a_(1)//a_(2)`
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