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A particle moves so that the distance mo...

A particle moves so that the distance moved in according to the law `s(t)=(t^(3))/(3)-t^(2)+3`. At what time the velocity and acceleration are zero respectively ?

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The correct Answer is:
`t=1`
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NCERT TAMIL-APPLICATIONS OF DIFFERENTIAL CALCULUS-Exercise 7.10
  1. A particle moves so that the distance moved in according to the law s(...

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  2. The volume of a sphere is increasing in volume at the rate of 3picm^(3...

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  3. A ballon rises straight up at 10m//s. An observer is 40m away from the...

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  4. The position of a particle moving along a horizontal line of any time ...

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  5. A stone is thrown up vertically. The height it reaches at time t secon...

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  6. Find the point on the curve 6y=x^(3)+2 at which y-coordinate changes 8...

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  7. The absicssa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

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  8. The slope of the line normal to the curve f(x)=2cos4x at x=(pi)/(12) i...

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  9. The tangent to the curve y^(2)-xy+9=0 is vertical when

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  10. Angle between y^(2)=x and x^(2)=y at the origin is

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  11. What is the value of the limit lim(x to 0)(cotx-(1)/(x)) ?

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  12. The function sin^(4)x+cos^(4)x is increasing in the interval

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  13. The number given by the Rolle's theorem for the function x^(3)-3x^(2)...

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  14. The number given by the Mean value theorem for the function (1)/(x), x...

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  15. The minimum value of the function |3-x|+9 is

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  16. The maximum slope of the tangent to the curve y=e^(x) sinx, x in [0,2p...

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  17. The maximum value of the function x^(2)e^(-2x), x gt 0 is

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  18. One of the closest points on the curve x^(2)-y^(2)=4 to the point (6,0...

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  19. The maximum product of two positive numbers, when their sum of the squ...

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  20. The curve y=ax^(4)+bx^(2) with ab gt 0

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  21. The point of inflection of the curve y=(x-1)^(3) is

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