A car traveling at 25.0 m / s applies the brakes and decelerates uniformly at a rate of 1.2 m

step 1 Hello. In this problem, we have a car that is moving with velocity of 25 meters per second, wher

A car traveling at 25.0 m / s applies the brakes and...

A car traveling at $25.0 \mathrm{~m} / \mathrm{s}$ applies the brakes and decelerates uniformly at a rate of $1.2 \mathrm{~m} / \mathrm{s}^{2}$ a) How far does it travel in $3.0 \mathrm{~s}$ ? b) What is its velocity at the end of this time interval? c) How long does it take for the car to come to a stop? d) What distance does the car travel before coming to a stop?

A car traveling at $25.0 \mathrm{~m} / \mathrm{s}$ applies the brakes and decelerates uniformly at a rate of $1.2 \mathrm{~m} / \mathrm{s}^{2}$
a) How far does it travel in $3.0 \mathrm{~s}$ ?
b) What is its velocity at the end of this time interval?
c) How long does it take for the car to come to a stop?
d) What distance does the car travel before coming to a stop?

Key Concepts

Uniformly Accelerated Motion

This concept refers to the motion where an object's acceleration remains constant over time. In problems involving uniformly accelerated motion, equations can be applied to determine various parameters such as displacement, final velocity, and time, assuming that the acceleration does not vary during the motion.

Kinematic Equations

Kinematic equations are a set of formulas that relate an object's displacement, velocity, acceleration, and time during uniformly accelerated motion. These equations are essential for solving problems where one or more of these parameters need to be determined, such as finding the distance traveled or the time it takes for an object to come to rest.

Deceleration

Deceleration is a type of acceleration where an object slows down, meaning the acceleration is in the opposite direction to the object's motion. It is often represented as a negative acceleration in equations, and it is crucial for calculating parameters like stopping distance or the time required to reduce the object's speed to zero.

Stopping Distance

Stopping distance refers to the total distance an object travels while decelerating to a complete stop. This concept combines the effects of the object's initial velocity and the constant deceleration, and it is calculated using kinematic equations to understand how far an object will coast before coming to rest under uniform deceleration.

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