Question:
Two balls are dropped to the ground from different heights. One ball is dropped $ 2\, s $ after the other but they both strike the ground at the same time. If the first ball takes $ 5\, s $ to reach the ground, then the difference in initial heights is $ (g=10m{{s}^{-2}}) $
Two balls are dropped to the ground from different heights. One ball is dropped $ 2\, s $ after the other but they both strike the ground at the same time. If the first ball takes $ 5\, s $ to reach the ground, then the difference in initial heights is $ (g=10m{{s}^{-2}}) $
Updated On: Aug 15, 2022
- 20 m
- 80 m
- 170 m
- 40 m
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The Correct Option is B
Solution and Explanation
$ {{s}_{1}}=\frac{1}{2}gt_{1}^{2}=\frac{10}{2}\times {{(5)}^{2}}=125\,m $
$ {{s}_{2}}=\frac{1}{2}gt_{2}^{2}=\frac{10}{2}\times {{(3)}^{2}}=45\,m $
$ \therefore $ $ {{s}_{1}}-{{s}_{2}}=125-45=80\,m $
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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.