A motorcycle is moving at 30 m / s when the rider applies the brakes, giving the motorcycle a c

step 1 A motorcycle has a speed of 30 meters per second. The speed decreases to 15 meters per second in

A motorcycle is moving at 30 m / s when the rider applies...

A motorcycle is moving at $30 \mathrm{~m} / \mathrm{s}$ when the rider applies the brakes, giving the motorcycle a constant deceleration. During the $3.0 \mathrm{~s}$ interval immediately after braking begins, the speed decreases to $15 \mathrm{~m} / \mathrm{s} .$ What distance does the motorcycle travel from the instant braking begins until the motorcycle stops?

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Key Concepts

Stopping Distance

Stopping distance refers to the total distance an object travels from the moment a decelerating force is applied until it comes to a complete stop. It is computed using kinematic equations and takes into account the effects of initial velocity and constant deceleration over time.

Equations of Motion

The equations of motion, such as v = u + at and s = ut + 0.5at², serve as fundamental tools in kinematics. They are used to solve various problems by connecting parameters like initial velocity, time elapsed, acceleration, and displacement, enabling the calculation of unknown variables when the others are known.

Constant Acceleration Kinematics

This concept involves the use of motion equations that apply when acceleration remains uniform throughout the period of interest. It allows one to relate initial velocity, final velocity, acceleration (or deceleration), time, and displacement without needing to account for changing acceleration rates.

Deceleration

Deceleration is a special case of constant acceleration where the acceleration vector is opposite to the direction of motion, leading to a decrease in speed. Understanding deceleration is crucial when analyzing scenarios where an object, such as a vehicle, is slowing down, as it affects computations of both velocity and travel distance.

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