Home
Class 12
MATHS
A lamp is 50 ft above the ground. A ball...

A lamp is `50 ft` above the ground. A ball is dropped from the same height from a point `30 ft` away from the light pole. If ball falls a distance `s=16 t^2 ft` in `t` second, then how fast is the shadow of the ball moving along the ground `1/2 s` later?

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

A ball goes through a distance of s meters in t seconds, where s = 8t - 10 t^(2) , fing the velocity of the ball at the end of 2 seconds.

A man 6 ft tall walks away from the foot of a lamp-post 15 ft high at the rate of 3 mi/h how fast does the tip of his shadow move?

A man 6 ft tall walks away from the foot of a lamp-post 15 ft high at the rate of 3 mi/h How fast does his shadow lengthen?

A ball is dropped from a height of 1m onto a horizontal plane. The ball takes 1.3 s from its time of release for the second impact with the plane. Find the coefficient of restitution.

A light is placed on the groung at a distance of 30 ft from a house. A man 6 ft tall walks from the light towards the house at the rate of 5 ft/s find the rate at which his shadow on the wall is shortening when he is 15 ft from the wall.

A ball is dropped from a height of a building while another is thrown horizontally at the same instant. Do they touch ground simultaneously?

A ball dropped from a height of 10 m rebounds from the floor and rises to a height of 2.5 m. If the ball spends 0.01 s in contact with the floor then find out the average acceleration during that contact.

A man of height 1.6m, walks at a rate of 30m/sec away from a lamp which is 4m in height. How fast the shadow of man is lengthening.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Prove that all the point on the curve y=sqrt(x+sinx) at which the tang...

    Text Solution

    |

  2. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  3. A lamp is 50 ft above the ground. A ball is dropped from the same heig...

    Text Solution

    |

  4. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  5. Find the angle between the curves 2y^2=x^3 and y^2=32 x.

    Text Solution

    |

  6. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  7. Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi...

    Text Solution

    |

  8. Find the angle at which the curve y=K e^(K x) intersects the y-axis.

    Text Solution

    |

  9. Find the angle of intersection of the curves x y=a^2a n dx^2-y^2=2a^2

    Text Solution

    |

  10. Find the angle between the curves x^2-(y^2)/3=a^2a n dC2: x y^3=c

    Text Solution

    |

  11. Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  12. If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then fin...

    Text Solution

    |

  13. Discuss the extremum of f(x)=2x+3x^(2/3)

    Text Solution

    |

  14. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

    Text Solution

    |

  15. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  16. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  17. f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of ...

    Text Solution

    |

  18. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  19. If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at...

    Text Solution

    |

  20. If in a triangle ABC, the side c and the angle C remain constant while...

    Text Solution

    |