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
- $\frac{7}{5}$
- $\frac{5}{7}$
- $\frac{7}{3}$
- $\frac{3}{7}$
Hide Solution
Verified By Collegedunia
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
$\therefore S_4 = 0 + \frac{a}{2} (2 \times 4 - 1)=\frac{7a}{2}$
$\, \, \, \, S_3 = 0 + \frac{a}{2} (2 \times 3 - 1)=\frac{5a}{2} \, \, \therefore \frac{S_4}{S_3}=\frac{7}{5}$
Was this answer helpful?
0
0
Top Questions on Motion in a straight line
- The displacement and the increase in the velocity of a moving particle in the time interval of \( t \) to \( (t + 1) \) s are 125 m and 50 m/s, respectively. The distance travelled by the particle in \( (t + 2)^{\text{th}} \) s is \( \_\_\_\_ \) m.
- JEE Main - 2024
- Physics
- Motion in a straight line
- A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _______m.
- JEE Main - 2024
- Physics
- Motion in a straight line
- Pebbles are dropped freely for every half second into a river from a bridge above it. When the first pebble is about to strike the surface of the water, the fifth pebble is dropped. Then the height from the surface of the water from which the pebbles are dropped is (Acceleration due to gravity = 10 m/s²).
- TS EAMCET - 2024
- Physics
- Motion in a straight line
- A long straight wire carrying a current 3 A produces a magnetic field \( B \) at a certain distance. The current that flows through the same wire will produce a magnetic field \( \frac{B}{3} \) at the same distance is:
- KEAM - 2024
- Physics
- Motion in a straight line
- The motion of a cylinder on an inclined plane is:
- KEAM - 2024
- Physics
- Motion in a straight line
View More Questions
Questions Asked in NEET exam
- Given below are two statements :
Statement I : Bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced.
Statement II : Both bone marrow and thymus provide micro environments for the development and maturation of T-lymphocytes.
In the light of above statements, choose the most appropriate answer from the options given below :- NEET (UG) - 2024
- Organ And Organ System
- The type of conservation in which the threatened species are taken out from their natural habitat and placed in special setting where they can be protected and given special care is called;
- NEET (UG) - 2024
- Biodiversity
- Given below are two statements:
Statement I: In C3 plants, some O2 binds to RuBisCO, hence CO, fixation is decreased.
Statement II: In C4 plants, mesophyll cells show very little photorespiration while bundle sheath cells do not show photorespiration.
In the light of the above statements, choose the correct answer from the options given below:- NEET (UG) - 2024
- respiration in plants
- Given below are two statements :
Statement I : In the nephron, the descending limb of loop of Henle is impermeable to water and permeable to electrolytes.
Statement II : The proximal convoluted tubule is lined by simple columnar brush border epithelium and increases the surface area for reabsorption.
In the light of the above statements, choose the correct answer from the option given below :- NEET (UG) - 2024
- Nephrons
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector\(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :- NEET (UG) - 2024
- Magnetic Field
View More Questions
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.