Home
Class 12
MATHS
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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - II|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - III|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

When a ball is thrown up vertically with velocity v_(0) it reaches a maximum height of h. when the ball reaches to triple t he maximum height. The velocity with which the ball was thrown is :

A stone is thrown vertically upwards with initial velocity of 40 m/s. Taking g=10m//s^(2) find the maximum height and total distance covered by stone.

A particle is fired straight up from the ground to each a height of x feet in t seconds, where x (t) =128t-16t^(2) . (1) Compute the maximum height of the particle reached. (2) What is the velocity when the particle hits the ground ?

A stone is thrown vertically up from the tower of height 25m with a speed of 20 m/s What time does it take to reach the ground ? (g=10 m//s^(2))

The distance s meters moved by a particle travelling in a straight line t seconds is given by s = 45t + 11t^(2) - t^(3) . Find the acceleration when the particle comes to rest.

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x=t^(2) (2-(t)/(3)) Find the time taken by it to reach Q and also find distance between P and Q.

A model rocket is launched from the ground. The height 'h' reached by the rocket after t seconds from lift off is given by h(t) = - 5t^(2) + 100t, 0 le t le 20 . At what time the rocket is 495 feet above the ground?

SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

    Text Solution

    |

  2. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

    Text Solution

    |

  3. If |z-2 + i|le2, then the greatest value of |z| is

    Text Solution

    |

  4. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  5. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

    Text Solution

    |

  6. The polynomial x^(3)+2x+3 has :

    Text Solution

    |

  7. The value of sin^(-1)(cosx),0lexlepi is

    Text Solution

    |

  8. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

    Text Solution

    |

  9. The vertex of the parabola x^(2)=8y-1 is :

    Text Solution

    |

  10. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  11. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x,y) =e^(xy), then (del^(2)f)/(del x del y) is equal to

    Text Solution

    |

  15. The value of int(-(pi)/(4))^((pi)/( 4)) ((2x^(7) - 3x^(5) + 7 x^(3) -...

    Text Solution

    |

  16. The value of int(0)^((pi)/(6)) cos ^(3) 3x dx

    Text Solution

    |

  17. The value of int(0)^(pi)dx/(1+5^(cosx)) is :

    Text Solution

    |

  18. The solution of the differential equation (dy)/(dx)+(1)/(sqrt(1-x^(2))...

    Text Solution

    |

  19. If sinx is the integrating factor of the linear differential equation ...

    Text Solution

    |

  20. The order and degree of the differential equation [x+y']^(2)=(y')^(2)

    Text Solution

    |