A sprinter who weighs 670 N runs the first 7.0 m of a race in 1.6 s, starting from rest and a

step 1 Well, distance traveled by the sprinter, D is equal to 7 meters, and it takes T is equal to 1 .6

A sprinter who weighs 670 N runs the first 7.0 m of a race...

A sprinter who weighs $670 \mathrm{~N}$ runs the first $7.0 \mathrm{~m}$ of a race in $1.6 \mathrm{~s}$, starting from rest and accelerating uniformly. What are the sprinter's (a) speed and (b) kinetic energy at the end of the $1.6 \mathrm{~s}$ ? (c) What average power does the sprinter generate during the $1.6 \mathrm{~s}$ interval?

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Key Concepts

Uniformly Accelerated Motion

This concept involves the use of kinematic equations that describe the motion of an object under constant acceleration. Key equations relate displacement, initial and final velocity, acceleration, and time, which are crucial for determining how an object speeds up over a given distance or time interval starting from rest.

Mass and Weight Relationship

Weight is the force due to gravity acting on an object and is given by the product of mass and the acceleration due to gravity. Understanding the conversion between weight and mass is necessary because many physical formulas, like those for kinetic energy, require mass rather than weight.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion and is calculated using the formula ½mv², where m is the mass and v is the velocity. This concept is important for determining how much energy an object has at a given speed.

Average Power

Average power is defined as the rate at which work is done or energy is transferred over a period of time. It is calculated by dividing the total work done or energy imparted by the time interval over which the work is performed, linking dynamics to energy considerations.

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