Question:
A body starts from rest, what is the ratio of the distance travelled by the during the $4^{th}$ and $3^{rd}$ second ?
A body starts from rest, what is the ratio of the distance travelled by the during the $4^{th}$ and $3^{rd}$ second ?
Updated On: Apr 29, 2024
- $\frac{7}{5}$
- $\frac{5}{7}$
- $\frac{7}{3}$
- $\frac{3}{7}$
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The Correct Option is A
Solution and Explanation
Distance covered in $n^{th}$ second is given by
$ S_n = u + \frac{a}{2} (2n - 1)$
Here, u = 0
$\therefore S_4 = 0 + \frac{a}{2} (2 \times 4 - 1)=\frac{7a}{2}$
$\, \, \, \, S_3 = 0 + \frac{a}{2} (2 \times 3 - 1)=\frac{5a}{2} \, \, \therefore \frac{S_4}{S_3}=\frac{7}{5}$
$ S_n = u + \frac{a}{2} (2n - 1)$
Here, u = 0
$\therefore S_4 = 0 + \frac{a}{2} (2 \times 4 - 1)=\frac{7a}{2}$
$\, \, \, \, S_3 = 0 + \frac{a}{2} (2 \times 3 - 1)=\frac{5a}{2} \, \, \therefore \frac{S_4}{S_3}=\frac{7}{5}$
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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.