A world-class sprinter running a 100 m dash was clocked at 5.4 m / s 1.0 s after starting runnin

step 1 We'd like to find the power output between these two intervals. So let's look during our first i

A world-class sprinter running a 100 m dash was clocked at...

A world-class sprinter running a $100 \mathrm{m}$ dash was clocked at $5.4 \mathrm{m} / \mathrm{s} 1.0 \mathrm{s}$ after starting running and at $9.8 \mathrm{m} / \mathrm{s} 1.5 \mathrm{s}$ later. In which of these time intervals, 0 to 1.0 s or 1.0 s to 2.5 s, was his output power greater?

A world-class sprinter running a $100 \mathrm{m}$ dash was clocked at $5.4 \mathrm{m} / \mathrm{s} 1.0 \mathrm{s}$ after starting running and at $9.8 \mathrm{m} / \mathrm{s} 1.5 \mathrm{s}$ later. In
which of these time intervals, 0 to 1.0 s or 1.0 s to 2.5 s, was his output power greater?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion and is defined as one-half the mass of the object multiplied by the square of its velocity. This concept is important because changes in an object’s velocity directly affect its kinetic energy, thereby linking motion to the energy required to accelerate an object.

Work-Energy Principle

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. In contexts such as sprinting, the work done by the muscles to accelerate the runner translates directly into an increase in kinetic energy, providing a method to analyze force, acceleration, and energy transfer over time.

Average Power

Average power is defined as the rate at which work is done, or equivalently, the change in energy over the time interval during which that change occurs. It is a crucial concept when comparing different phases of motion because it helps determine which phase involved a higher rate of energy output, despite variations in time or velocity.

Acceleration

Acceleration describes the rate at which an object's velocity changes over time. It is a central concept in understanding motion because the forces exerted to accelerate an object induce changes in kinetic energy and affect the overall work done during specific intervals.

Transcript

Please give Ace some feedback