Question:
A particle covers $150\, m$ in $8^\text{th}$ second starting from rest, its acceleration is:
A particle covers $150\, m$ in $8^\text{th}$ second starting from rest, its acceleration is:
Updated On: Jul 5, 2022
- $ 15\, ms^{-2} $
- $ 20\, ms^{-2} $
- $ 10\, ms^{-2} $
- $ 8\, ms^{-2} $
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The Correct Option is B
Solution and Explanation
From equation of motion, we have
$s=u t+\frac{1}{2} a(2 n-1)$
where $u$ is initial velocity, $t$ is time, $a$ is acceleration and $n$ is the particular second.
Since $u=0$, we have
$150 =0+\frac{1}{2} a(2 \times 8-1)=\frac{15 a}{2} $
$\Rightarrow a \neq \frac{300}{15}=20 \,m / s ^{2}$
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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.