Question

A car starting from rest and moving on a straight road with constant acceleration, attains a speed of $40 \mathrm{~m} \mathrm{~s}^{-1}$ in $20 \mathrm{~s}$. Its average acceleration is (a) $0.5 \mathrm{~m} \mathrm{~s}^{2}$ (b) $2 \mathrm{~m} \mathrm{~s}^{-2}$ (c) $4 \mathrm{~m} \mathrm{~s}^{-2}$ (d) $8 \mathrm{~m} \mathrm{~s}^{-2}$

Name: Problem 43, Chapter 2: IIT JEE Super Course in Physics: Mechanics I
Uploaded: 2021-06-08T04:10:37-08:00
Duration: 1 min 18 s
Channel: Satpal Satpal
Description: A car starting from rest and moving on a straight road with constant acceleration, attains a speed of 40 m s^-1 in 20 s. Its average acceleration is (a) 0.5 m s^2 (b) 2 m s^-2 (c) 4 m s^-2 (d) 8 m s^-2

   A car starting from rest and moving on a straight road with constant acceleration, attains a speed of $40 \mathrm{~m} \mathrm{~s}^{-1}$ in $20 \mathrm{~s}$. Its average acceleration is
(a) $0.5 \mathrm{~m} \mathrm{~s}^{2}$
(b) $2 \mathrm{~m} \mathrm{~s}^{-2}$
(c) $4 \mathrm{~m} \mathrm{~s}^{-2}$
(d) $8 \mathrm{~m} \mathrm{~s}^{-2}$

IIT JEE Super Course in Physics: Mechanics I

Trishna Knowledge… 1st Edition

Chapter 2, Problem 43

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Solved by Expert Satpal Satpal

06/08/2021

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A car starting from rest and moving on a straight road with constant acceleration, attains a speed of $40 \mathrm{~m} \mathrm{~s}^{-1}$ in $20 \mathrm{~s}$. Its average acceleration is (a) $0.5 \mathrm{~m} \mathrm{~s}^{2}$ (b) $2 \mathrm{~m} \mathrm{~s}^{-2}$ (c) $4 \mathrm{~m} \mathrm{~s}^{-2}$ (d) $8 \mathrm{~m} \mathrm{~s}^{-2}$

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Key Concepts

Kinematic Equations

Kinematic equations are mathematical formulas used to describe the motion of objects under constant acceleration. They relate initial and final velocities, acceleration, displacement, and time, enabling the prediction and calculation of various motion parameters without needing to determine intermediate values.

Uniformly Accelerated Motion

Uniformly accelerated motion refers to a scenario in which an object's acceleration remains constant throughout its motion. This simplifies the analysis considerably because the velocity changes at a steady rate, allowing the use of specific kinematic equations to relate displacement, velocity, acceleration, and time.

Average Acceleration

Average acceleration is defined as the total change in velocity divided by the total time taken. In kinematics, it provides a measure of how quickly an object's velocity is changing over an interval, regardless of whether the acceleration is constant or variable.

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