An athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes (720 seconds). What is the magnitude of the athlete's tangential velocity?

The athlete's tangential velocity is 0.88 m/s.

Step-by-step explanation:

We have that the athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes:

Where:

ω: is the angular speed

θ: is the angular displacement

t: is the time = 12 min = 720 s

The angular displacement is:

Now, the angular speed is:

Finally, the athlete's tangential velocity is:

Therefore, the athlete's tangential velocity is 0.88 m/s.

I hope it helps you!                                        

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

sorry i need the points

step-by-step explanation:

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