A particle, having an initial velocity of 5 m s^-1 moves along a straight line with a constant

Name: Problem 13, Chapter 2: IIT JEE Super Course in Physics: Mechanics I
Uploaded: 2021-06-07T17:45:51-08:00
Duration: 1 min 19 s
Channel: Satpal Satpal
Description: A particle, having an initial velocity of 5 m s^-1 moves along a straight line with a constant acceleration of 2 m s^-2 for 10 s. Its displacement in the last second is (a) 25 m (b) 30 m (c) 24 m (d) 27 m

step 1 The displacement in nth second can be written as s n this is equals to u plus a multiplied with

Question

A particle, having an initial velocity of $5 \mathrm{~m} \mathrm{~s}^{-1}$ moves along a straight line with a constant acceleration of $2 \mathrm{~m} \mathrm{~s}^{-2}$ for 10 s. Its displacement in the last second is (a) $25 \mathrm{~m}$ (b) $30 \mathrm{~m}$ (c) $24 \mathrm{~m}$ (d) $27 \mathrm{~m}$

   A particle, having an initial velocity of $5 \mathrm{~m} \mathrm{~s}^{-1}$ moves along a straight line with a constant acceleration of $2 \mathrm{~m} \mathrm{~s}^{-2}$ for 10
s. Its displacement in the last second is
(a) $25 \mathrm{~m}$
(b) $30 \mathrm{~m}$
(c) $24 \mathrm{~m}$
(d) $27 \mathrm{~m}$

IIT JEE Super Course in Physics: Mechanics I

Trishna Knowledge… 1st Edition

Chapter 2, Problem 13

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Solved by Expert Satpal Satpal

06/07/2021

Step 1

Step 1: We know that the displacement in nth second, $S_n$, can be calculated using the formula: \[S_n = u + a \cdot \frac{(2n - 1)}{2}\] where $u$ is the initial velocity, $a$ is the acceleration, and $n$ is the time in seconds. Show more…

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A particle, having an initial velocity of $5 \mathrm{~m} \mathrm{~s}^{-1}$ moves along a straight line with a constant acceleration of $2 \mathrm{~m} \mathrm{~s}^{-2}$ for 10 s. Its displacement in the last second is (a) $25 \mathrm{~m}$ (b) $30 \mathrm{~m}$ (c) $24 \mathrm{~m}$ (d) $27 \mathrm{~m}$

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Key Concepts

Uniform Acceleration

Uniform acceleration refers to motion in which the acceleration remains constant over time. This allows for the use of kinematic equations that relate displacement, initial velocity, acceleration, and time, enabling precise calculation of position and velocity at any given moment during the motion.

Displacement in a Specific Time Interval

Calculating displacement over a specific time interval, especially in the context of uniform acceleration, involves determining the difference between the positions of the moving object at the beginning and end of the time period. This approach is essential for finding distances covered during particular segments of the journey, such as the displacement during the last second of motion.

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