Question

The famous Gateway to the West Arch in St. Louis, Missouri, is about 192 m tall at its highest point. Suppose Sally, a stuntwoman, jumps off the top of the arch. How fast would she be going when she landed at the bottom of the arch?

Answer 1

Sally would be going approximately 59.99 m/s when she lands at the bottom of the arch.

Step-by-step explanation:

If Sally jumps off the top of the Gateway to the West Arch in St. Louis, Missouri, she will experience free fall as she falls towards the ground. The initial velocity at the top of the arch is zero since she is not moving. Using the equations of motion, we can calculate the final velocity when she lands at the bottom of the arch.

Assuming there is no air resistance, the final velocity can be calculated using the equation v = sqrt(2gh), where g is the acceleration due to gravity (9.8 m/s^2) and h is the height of the arch.

In this case, the height is about 192 m. Plugging in the values, we get v = sqrt(2*9.8*192) ≈ 59.99 m/s. So, Sally would be going approximately 59.99 m/s when she lands at the bottom of the arch.