Question:
A ball is thrown vertically downward with a velocity of 20m/s from the top of a tower. It hits the ground after some time with a velocity of 80m/s. The height of the tower is : (g = $10m/s^2$)
A ball is thrown vertically downward with a velocity of 20m/s from the top of a tower. It hits the ground after some time with a velocity of 80m/s. The height of the tower is : (g = $10m/s^2$)
Updated On: Apr 14, 2025
- 360 m
- 340 m
- 320 m
- 300 m
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The Correct Option is D
Solution and Explanation
Using, $v^{2}=u^{2}+2gh$
Given, $V=80m/s$ and $u=20 m/s$
$h=\frac{v^{2}-u^{2}}{2g}$
$=\frac{6400-400}{20}$
$=300\,m$
Given, $V=80m/s$ and $u=20 m/s$
$h=\frac{v^{2}-u^{2}}{2g}$
$=\frac{6400-400}{20}$
$=300\,m$
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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.