At the end of a race, a runner decelerates from a velocity of 9.00 m / s at a rate of 2.00 m / s

step 1 we know that her displacement will call it S and be calculated on S is equal to V0 t plus a half

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 $9.00 \mathrm{m} / \mathrm{s}$ at a rate of $2.00 \mathrm{m} / \mathrm{s}^{2}$. (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

Deceleration

Deceleration refers to the process where an object's speed decreases due to an acceleration that is opposite in direction to its motion. It is treated similarly to acceleration in kinematic equations but with a negative sign, indicating that the object slows down over time.

Physical Reasoning

Physical reasoning involves assessing whether calculated results are reasonable and consistent with the real-world behavior of systems. In kinematics problems, this includes verifying that the laws of motion are upheld, such as ensuring that a decelerating object does not gain speed and that computed values align with expected physical limits.

Kinematic Equations

Kinematic equations are mathematical relationships that connect displacement, initial velocity, acceleration, time, and final velocity under constant acceleration. These equations, such as s = v?t + ½at² and v = v? + at, are essential tools for quantitatively analyzing motion without needing to account for complex forces.

Constant Acceleration

This concept involves motion in which an object’s velocity changes at a constant rate. It is central to problems in kinematics where the acceleration remains the same over time, allowing the use of specific equations to determine various parameters such as displacement, final velocity, and time.

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