A car starts from rest, attains a velocity of 36 km h^-1 with an acceleration of 0.2 m s^-2,

step 1 In this question we will learn about some basic concept of the motion in a straight line. So in

A car starts from rest, attains a velocity of 36 km h^-1...

A car starts from rest, attains a velocity of $36 \mathrm{~km} \mathrm{~h}^{-1}$ with an acceleration of $0.2 \mathrm{~m} \mathrm{~s}^{-2}$, travels $9 \mathrm{~km}$ with this uniform velocity and then comes to halt with a uniform deceleration of $0.1 \mathrm{~m} \mathrm{~s}^{-2}$. The total time of travel of the car is

Key Concepts

Deceleration

Deceleration is the process of reducing speed with a negative acceleration. In problems involving deceleration, the same kinematic equations apply as in acceleration, but with the acceleration value taken as negative. This concept is essential for calculating the distance or time required for an object to come to rest from a given velocity.

Uniform (Constant) Velocity Motion

Uniform velocity motion is characterized by a constant speed in a straight line, meaning there is no acceleration involved. In this type of motion, the distance traveled can be directly calculated as the product of speed and time, simplifying the analysis of motion over segments where acceleration is zero.

Unit Conversion

Unit conversion is critical when solving motion problems, especially when the units for velocity, distance, or acceleration are given in different systems. Converting units such as kilometers per hour to meters per second ensures consistency in using the kinematic equations and helps avoid calculation errors.

Kinematic Equations

Kinematic equations form the backbone of solving problems involving constant acceleration. They relate the variables of displacement, initial velocity, final velocity, acceleration, and time. By choosing the correct equation for each phase of motion, one can compute missing values such as time intervals or distances covered under acceleration or deceleration.

Uniformly Accelerated Motion

Uniformly accelerated motion refers to motion where an object experiences a constant acceleration. This concept allows the use of specific formulas that relate acceleration, velocity, displacement, and time. It is particularly useful in determining the time required to accelerate from rest to a given velocity or to decelerate to a stop.

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