A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 50 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 23.4 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track

Explanation:

Data

Time:  

Length:  

Radius:

We need to find centripetal acceleration

Velocity is the change of distance with time according to motion equation.

therefore

velocity:

The centripetal acceleration () is equal to the square of the velocity, divided by the radius of the circular path.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2