A particle moves along a straight line according to the law `s=16-2t+3t^(3)`, where `s` metres is the distance of the particle from a fixed point at the end of `t` second. The acceleration of the particle at the end of `2s` isA. `3.6m//s^(2)`B. `36m//s^(2)`C. `36km//s^(2)`D. `360 m//s^(2)`

A particle moves along a straight line according to the law `s=16-2t+3

1.	A particle moves along a straight line according to the law `s=16-2t+3t^(3)`, where `s` metres is the distance of the particle from a fixed point at the end of `t` second. The acceleration of the particle at the end of `2s` isA. `3.6m//s^(2)`B. `36m//s^(2)`C. `36km//s^(2)`D. `360 m//s^(2)`
Answer» Correct Answer - B Given, `s=16-2t+3t^(3)` `implies(ds)/(dt)=-2 +9t^(2)` `implies(d^(2)S)/(dt^(2))=18t` Now, the acceleratio of the particle at the end of `t=2` s is `f=(d^(2)s)/(dt^(2))=18xx2=36m//s^(2)`

Discussion

No Comment Found

Related InterviewSolutions

The equation of a sound wave is `y=0.0015sin(62.4x+316t)` the wavelength of this wave isA. 0.2 unitB. 0.1 unitC. 0.3 unitD. None of these
If the temperature increases, then what happens to the frequency of the sound produced by the organ pipe ?A. unchangedB. decreasesC. increasesD. not definite
In a resonance tube the first resonance with a tuning fork occurs at 16 cm and second at 49 cm . If the velocity of sound is 330 m/s , the frequency of tuning fork isA. 500B. 300C. 330D. 165
The differential equation whose solution is `(x-h)^2+ (y-k)^2=a^2` is (a is a constant)A. `[1+((dy)/(dx))^(2)]^(3)=a^(2)(d^(2)y)/(dx^(2))`B. `[1+((dy)/(dx))^(2)]^(3)=a^(2)((d^(2)y)/(dx^(2)))^(2)`C. `[1+((dy)/(dx))]^(3)=a^(2)((d^(2)y)/(dx^(2)))^(2)`D. None of the above
Find the differential equation of all the circleswhich pass through the origin and whose centres lie on y-axis.A. `(x^(2)-y^(2))(dy)/(dx)-2xy=0`B. `(x^(2)-y^(2))(dy)/(dx)+2xy=0`C. `(x^(2)-y^(2))(dy)/(dx)-xy=0`D. `(x^(2)-y^(2))(dy)/(dx)+xy=0`
From point `P(8,27)` tangents PQ and PR are drawn to the ellipse `(x^(2))/(4)+(y^(2))/(9)=1.` Then, angle subtended by QR at origin isA. `tan ^(-1)""(2sqrt6)/(65)`B. `tan ^(-1)""(4sqrt6)/(65)`C. `tan^(-1)""(8sqrt2)/(65)`D. None of these
In the following sequence of reactions `CH-underset(NH_(2))underset(|)(CH)-CH_(3)overset(HNO_(3))toAoverset("Oxidation")toBunderset((ii)H^(+)//H_(2)O)overset((i)CH_(3)MgI)toC` The compound C formed will beA. butanol-1B. butanol-2C. 2-methyl propanol-1D. 1, 1-dimethyletanol
The equation of the common tangents to the circle`(x-3)^(2)+y^(2)=9` and the parabola `y^(2)=4ax` the x-axis, isA. `sqrt2y=3x+1`B. `sqrt3y=-(x+3)`C. `sqrt3y=x+3`D. `sqrt3y=-(3x+1)`
The most common oxidation states of cerium areA. `+2,+4`B. `+3,+4`C. `+3,+5`D. `+2,+3`
In a sim,le slit differection pattern intensisty and width of fringes areA. unequal widthB. equal widthC. equal width and equal intensityD. unequal width and unequal intensity

A particle moves along a straight line according to the law `s=16-2t+3t^(3)`, where `s` metres is the distance of the particle from a fixed point at the end of `t` second. The acceleration of the particle at the end of `2s` isA. `3.6m//s^(2)`B. `36m//s^(2)`C. `36km//s^(2)`D. `360 m//s^(2)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment