Question:
A man throws balls with same speed vertically upwards one after the other at an interval of $2 \,s$. What should be the speed of throw so that more than two balls are in the sky at any time ?
A man throws balls with same speed vertically upwards one after the other at an interval of $2 \,s$. What should be the speed of throw so that more than two balls are in the sky at any time ?
Updated On: Aug 15, 2022
- Only with speed $19.6 \,ms^{-1}$
- More than $19.6\,ms^{-1}$
- At least $9.8 \,ms^{-1}$
- Any speed less than $19.6 \,ms^{-1}$
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The Correct Option is B
Solution and Explanation
Interval of ball thrown $= 2 \,s$
If we want that minimum three (more than two) balls remain in air then time of flight of first ball must be greater than $4\, s$.
$T > 4\,s $
$\Rightarrow \frac{2u}{g} > 4s$
$\Rightarrow u > 19 .6 \,m\,s^{-1}$
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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:
- 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.
- 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.