If a 64 kg sprinter can accelerate from a standing start to a speed of 10 m/s in 3 s, what average power is generated?

Work = Change in kinetic = 0.5M*V^2.

P = W/t = 0.5M*V^2/t = (0.5*64*10^2)/3 = 1067 J/s. = 1067 Watts.

To calculate the average power generated by the sprinter, we can use the formula:

Average Power = Work / Time

First, let's find the work done by the sprinter. Work is calculated using the formula:

Work = Force x Distance

In this case, the force can be calculated using Newton's second law:

Force = Mass x Acceleration

The acceleration can be found by dividing the change in velocity by the time taken:

Acceleration = (Final Velocity - Initial Velocity) / Time

Now, let's calculate the force:

Acceleration = (10 m/s - 0 m/s) / 3 s
Acceleration = 10 m/s / 3 s
Acceleration = 3.33 m/s^2

Force = 64 kg x 3.33 m/s^2
Force = 213.12 N

Now, let's calculate the distance covered by the sprinter. The distance covered can be found using the kinematic equation:

Distance = Initial Velocity x Time + (1/2) x Acceleration x Time^2

Since the sprinter starts from rest, the initial velocity is 0 m/s:

Distance = 0 m/s x 3 s + (1/2) x 3.33 m/s^2 x (3 s)^2
Distance = 0 m + (1/2) x 3.33 m/s^2 x 9 s^2
Distance = 0 m + 14.985 m
Distance = 14.985 m

Now, let's find the work done:

Work = Force x Distance
Work = 213.12 N x 14.985 m
Work = 3193.35 J

Finally, let's calculate the average power:

Average Power = Work / Time
Average Power = 3193.35 J / 3 s
Average Power = 1064.45 W

Therefore, the average power generated by the sprinter is approximately 1064.45 Watts.

To find the average power generated by the sprinter, we need to use the equation:

Power = Work / Time

To calculate the work done by the sprinter, we can use the equation:

Work = Force * Distance

First, let's find the force exerted by the sprinter using Newton's second law of motion:

Force = Mass * Acceleration

The mass of the sprinter is given as 64 kg. The acceleration can be calculated using the formula:

Acceleration = Change in Velocity / Time

The change in velocity is the final velocity minus the initial velocity. Since the sprinter starts from a standing position, the initial velocity is 0 m/s. The final velocity is given as 10 m/s, and the time taken is 3 seconds.

Now, let's calculate the acceleration:

Acceleration = (10 m/s - 0 m/s) / 3 s

Acceleration = 10 m/s / 3 s

Acceleration ≈ 3.33 m/s²

Next, we can calculate the force:

Force = Mass * Acceleration

Force = 64 kg * 3.33 m/s²

Force ≈ 213.12 N

Now that we have the force, we can calculate the work done by the sprinter:

Work = Force * Distance

Since the sprinter starts from a standing position, the distance traveled is given by the formula:

Distance = (1/2) * Acceleration * Time²

Distance = (1/2) * 3.33 m/s² * (3 s)²

Distance ≈ 14.985 m

Now, let's calculate the work done:

Work = Force * Distance

Work = 213.12 N * 14.985 m

Work ≈ 3,191 J

Finally, we can calculate the average power generated by dividing the work done by the time taken:

Power = Work / Time

Power = 3,191 J / 3 s

Power ≈ 1,063.67 W

Therefore, the average power generated by the sprinter is approximately 1,063.67 Watts.

Power=w/t=f*d/t= f*∆V

Power== f*∆V=[(64kg)(9.8m/s^2)]*[(10m/s-0m/s)/3s]=???