At the end of a race, a runner decelerates from a velocity...

At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 $\mathrm{m} / \mathrm{s}^{2}$ m/s2. (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?

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Key Concepts

Uniform Acceleration

Uniform acceleration refers to motion in which the velocity changes at a constant rate over time. This concept allows the use of kinematic equations to predict displacement, velocity, and time, making it central to analyzing problems involving constant rates of change in velocity.

Deceleration

Deceleration is a type of uniform acceleration where the object’s speed decreases over time, effectively considering the acceleration as a negative value. This concept is important when determining how an object slows down, as it involves applying the same kinematic equations with appropriate sign conventions.

Kinematic Equations

Kinematic equations are mathematical formulas used to relate displacement, initial velocity, acceleration, time, and final velocity in uniformly accelerated motion. These equations are essential tools for solving problems in classical mechanics, such as calculating distances traveled and final speeds.

Result Verification

Result verification involves critically assessing the computed outcomes to ensure they are physically sensible. This includes checking that the sign of the acceleration correctly represents deceleration, confirming that distances traveled are realistic given the initial conditions, and ensuring consistency with the expected behavior of the system.

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