UPSC Exam  >  UPSC Questions  >  A particle having initial velocity 10 m per s... Start Learning for Free
A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second?
Most Upvoted Answer
A particle having initial velocity 10 m per second moves with a consta...
Given Data:
- Initial velocity (u) = 10 m/s
- Acceleration (a) = 5 m/s²
- Time (t) = 15 s

Calculating Final Velocity:
The final velocity (v) can be calculated using the formula:
v = u + at
v = 10 + 5(15)
v = 10 + 75
v = 85 m/s

Calculating Displacement in 15 seconds:
The displacement (S) in 15 seconds can be calculated using the formula:
S = ut + (1/2)at²
S = 10(15) + (1/2)(5)(15)²
S = 150 + (1/2)(5)(225)
S = 150 + 562.5
S = 712.5 meters

Calculating Displacement in the Last 2 seconds:
To find the displacement in the last 2 seconds, we need to calculate the final velocity at the end of 13 seconds first.
Using the formula v = u + at:
v = 10 + 5(13)
v = 10 + 65
v = 75 m/s
Now, we can calculate the displacement in the last 2 seconds using the formula:
S = vt - (1/2)at²
S = 75(2) - (1/2)(5)(2)²
S = 150 - (1/2)(5)(4)
S = 150 - 10
S = 140 meters
Therefore, the displacement of the particle in the last 2 seconds is 140 meters.
Explore Courses for UPSC exam

Top Courses for UPSC

A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second?
Question Description
A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second?.
Solutions for A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? defined & explained in the simplest way possible. Besides giving the explanation of A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second?, a detailed solution for A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? has been provided alongside types of A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? theory, EduRev gives you an ample number of questions to practice A particle having initial velocity 10 m per second moves with a constant acceleration 5 m second for a time 15 second along a straight line what is the displacement of the particle in the last two second? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev