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A stone is thrown up vertically. The hei...

A stone is thrown up vertically. The height it reaches at time t seconds is given by `x=80t-16t^(2)`. The stone reaches the maximum height in time t seconds is given by

A

2

B

2.5

C

3

D

3.5

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-EXERCISE 7.10
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  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

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

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

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  5. The point on the curve 6y =x ^(3)+2 at which y- co ordinate is ...

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

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

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  8. Angle between y^(2)=xandx^(2)=y at the origin is

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  9. The value of the limit lim(xto0)(cotx-1/x) is

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

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

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  12. The number given by the Mean value theorem for the function 1/x,x in[1...

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

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

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  15. The maximum value of the function x^(2)e^(-2x),xgt0 is

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

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  17. The maximum value of the product of two positive numbers, when their s...

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  18. The curve y=ax^(4)+bx^(2)" with "abgt0

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

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