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The displacement of a particle is given ...

The displacement of a particle is given as function of time as `x = t^3 + 3t^2+5t-1`. How much displacement is covered in the first 10 seconds?
a) 1349 units
b) 1439 units
c) 139 units
d) 149 units

Text Solution

Verified by Experts

The correct Answer is:
A
Given, T=16N
from the freebody diagrams
`t-2mg+2ma=0`…..i
`T-mg-ma=0` ………..ii
From equation i and ii
T=4ma`
`rarr a=T/(4m)=4/m m/s^2`

`Now, S=ut+1/2 at^2`
`=(1/2)xx4lmxx1`
`=(2/m)m [because =0]`
Net mass`=2m-m=m`
Decrease in P.E. `=mgh`
`=mxxgx(2/m)`
`=9.8x2=19.6J`
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