At t = 0 s, a stuntwoman jumps off the top of a tall building. She is wearing a special suit, which increases the air resistance she experiences so that, after falling with constant acceleration for a time t1 , she then falls with a constant velocity of 20 m/s directed down. At a time of t2 after leaving the top of the building, the stuntwoman reaches a safety net, which provides a constant upward acceleration that brings the stuntwoman to rest at a time of t3 after leaving the top of the building. The graph below shows the vertical component of the stuntwoman's velocity throughout the entire process. Try to use the graph to help solve the problem. Use these numbers: t₁ = 4.00 s, t₂ = 13.0 s, and t₃ = 14.0 s. Assuming the stuntwoman comes to rest at ground level (this was a very carefully planned stunt!), how tall is the building?

Transcribed Image Text:

v (m/s) 20- 10- 0 12 13 -10- -20+ t v (m/s) 20- 10- 0 12 13 -10- -20+ t