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The displacement of a particle is given ...

The displacement of a particle is given by ` y= a+ bt + ct ^(2) - dt ^(4) .` The initial velocity and acceleration are respectively :

A

`b, -4 d`

B

`-b, 2c`

C

`b , 2c`

D

`2b, - 4d.`

Text Solution

Verified by Experts

The correct Answer is:
C
`y = a + by + ct ^(2) - dt ^(4) implies dv = (dy)/(dt) = b + 2ct - 4 dt ^(3)`
`v _(t - c) = b ` also ` a = (dv)/(dt) = 2 c - 12 dt ^(2) implies a _(t = 0) = 2 c.`
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