A car is moving at 60 mi / hr(88 ft / s) on a straight road when the driver steps on the brake p

step 1 hello welcome to this lesson in this lesson we are looking at how far a car went the brick was a

A car is moving at 60 mi / hr(88 ft / s) on a straight road...

A car is moving at $60 \mathrm{mi} / \mathrm{hr}(88 \mathrm{ft} / \mathrm{s})$ on a straight road when the driver steps on the brake pedal and begins decelerating at a constant rate of $10 \mathrm{ft} / \mathrm{s}^{2}$ for 3 seconds. How far did the car go during this 3 -second interval?

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Key Concepts

Unit Conversion

Unit conversion is essential for ensuring consistency in calculations, particularly when different units are used for speed, distance, or acceleration. Converting all terms to compatible units, such as converting miles per hour to feet per second, prevents errors and allows accurate application of formulas.

Kinematic Equations

Kinematic equations provide relationships between displacement, initial velocity, acceleration, time, and final velocity for an object moving with constant acceleration. They are used to compute any unknown variable when the others are known, making them fundamental in analyzing motion scenarios like deceleration.

Constant Acceleration

Constant acceleration implies that the rate of change of velocity remains the same throughout the motion. This uniformity allows for the direct application of kinematic equations without requiring calculus, simplifying the calculation of distance traveled or final velocity.

Deceleration

Deceleration refers to a decrease in speed over time and is treated as negative acceleration in calculations. It is a common concept in motion problems involving braking or slowing down, where the object’s speed reduces at a constant rate.

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