Question:
A particle starting from rest moves upto $20\, s$ with constant acceleration. If $S _1$ is the distance covered in first $10\, s$ and $S_2$ is the distance covered in last $10$ second, then
A particle starting from rest moves upto $20\, s$ with constant acceleration. If $S _1$ is the distance covered in first $10\, s$ and $S_2$ is the distance covered in last $10$ second, then
Updated On: Jul 5, 2022
- $S_2=S_1$
- $S_2=2S_1$
- $S_2=3S_1$
- $S_2=4S_1$
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
$S_1 =\frac{1}{2} at^2 = \frac{1}{2} \times a \times 10^32 = 50a$
$S_1 + S_2 = \frac{1}{2} \times a \times 20^2 = 200 a$
Then $S_2 = 20 \, a - S_1 = 200 \, a - 50 \, a = 150 \, a = 3 \times 50 \, a = 3S_1$
Was this answer helpful?
0
0
Top Questions on Motion in a straight line
- A projectile is fired with an initial speed of \( 20 \, \text{m/s} \) at an angle of \( 30^\circ \) above the horizontal. Find the maximum height reached by the projectile.
- MHT CET - 2025
- Physics
- Motion in a straight line
- A car starts from rest and accelerates uniformly at 3 m/s\textsuperscript{2. What will be its velocity after 5 seconds?}
- MHT CET - 2025
- Physics
- Motion in a straight line
- A projectile is fired with an initial velocity of 20 m/s at an angle of 30\(^\circ\) with the horizontal. Calculate the maximum height reached by the projectile.
- MHT CET - 2025
- Physics
- Motion in a straight line
- A 5 kg block is placed on a horizontal surface. A force of 10 N is applied to the block. The coefficient of friction between the block and the surface is 0.2. Find the acceleration of the block.
- MHT CET - 2025
- Physics
- 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
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.