Question:

A man in a balloon rising vertically with an acceleration of $4.9\, m\, s^{-2}4$ releases a stone 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the stone is (Take $g = 9.8 \,m \,s^{-2}$)

Updated On: Jul 5, 2022
  • 14.7 m
  • 19.6 m
  • 9.8 m
  • 24.5 m
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Here, $a = 4.9\, m\, s^{-2},\, t = 2\, s,\, u = 0$ $ S = ut + \frac{1}{2}at^{2}$ $s = 0 +\frac{1}{2} \times4.9 \times\left(2\right)^{2} = 9.8\,m$ This is the height from where stone is dropped. Upward velocity of stone when released, $\upsilon = u + at = 0 + 4.9 \times 2 = 9.8\, m\, s^{-1}$ The stone will move up till its velocity become zero. From, $\upsilon^{2} - u^{2} = 2as$ $0 - \left(9.8\right)^{2} = 2\left(-9.8\right)s'\quad\therefore\quad s' = 4.9\,m$ Maximum height above the ground $= s+s' = 9.8\, m + 4.9\, m = 14.7$
Was this answer helpful?
0
0

Top Questions on Motion in a straight line

View More Questions

Notes on Motion in a straight line

Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.