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 Question number 54, initial velocity u is equal to 9 meter per second. Acceleration is a equal t

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 $2.00 \mathrm{m} /$s. (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

Uniformly Accelerated Motion

This concept describes the motion of an object moving along a straight line where its acceleration remains constant throughout the motion. It provides the framework under which relationships between displacement, initial velocity, acceleration, time, and final velocity can be established and analyzed.

Kinematic Equations

These are a set of equations used to calculate various parameters of motion when the acceleration is constant. They relate displacement, initial velocity, final velocity, acceleration, and time, and are fundamental to solving problems that involve linear motion with constant acceleration.

Deceleration

Deceleration is the process of slowing down, which is essentially negative acceleration in the context of linear motion. It implies that the velocity of the moving object is decreasing over time, and the magnitude of deceleration is used in kinematic equations to determine changes in velocity and displacement.

Evaluation of Physical Results

This involves assessing whether the computed solution is realistic and consistent with physical intuition. It includes checking if the results conform to the constraints of the problem, such as non-negative distances or velocities in the expected ranges, and interpreting whether the outcomes make sense in the given physical context.

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