## If Fran jumps straight up off the floor and lands on her feet $$T$$ seconds later, her feet will reach a maximum height

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### If Fran jumps straight up off the floor and lands on her feet $$T$$ seconds later, her feet will reach a maximum height

by Gmat_mission » Sun Sep 12, 2021 4:40 am

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If Fran jumps straight up off the floor and lands on her feet $$T$$ seconds later, her feet will reach a maximum height of $$1.22T^2$$ meters above the floor. On one such jump, was Fran off the floor for less than $$1$$ second?

(1) On her jump Fran’s feet reached a maximum height of $$1$$ meter above the floor.

(2) On her jump Fran spent more than $$\dfrac14$$ second ascending.