Question:
The acceleration due to gravity at a place is \(${g = 9.61\, m \, s^{-2}}$\). The speed with which a ball must be thrown vertically upward from the ground level so that it reached a maximum height of 50 m is
The acceleration due to gravity at a place is \(${g = 9.61\, m \, s^{-2}}$\). The speed with which a ball must be thrown vertically upward from the ground level so that it reached a maximum height of 50 m is
Updated On: Jun 8, 2022
\(${28\, m \, s^{-2}}$\)
\(${30\, m \, s^{-2}}$\)
\(${31\, m \, s^{-2}}$\)
\(${29\, m \, s^{-2}}$\)
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The Correct Option is C
Solution and Explanation
Given $h$ = 50 m
$a$ = - g = -9.8 m s$^{-2}$ and $v$ = 0
For vertically upward motion
$v^2 = u^2 - 2gh$
${u = \sqrt{2gh} = \sqrt{19.6 \times 50} = 31.30 \, m s^{-1}}$
$a$ = - g = -9.8 m s$^{-2}$ and $v$ = 0
For vertically upward motion
$v^2 = u^2 - 2gh$
${u = \sqrt{2gh} = \sqrt{19.6 \times 50} = 31.30 \, m s^{-1}}$
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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.