How long is tina, a ballerina, in the air when she leaps straight up with a speed of 1.8 m/s?

0.367 s

Explanation:

Tina has a unifomrly accelerated motion along the vertical direction, with initial velocity and constant acceleration downward (acceleration due to gravity). Its position at time t is given by the equation:

where is the initial height, so we can remove it from the equation:

We need to find how long is Tina in the air, which means we have to find the time t at which Tina reaches the ground again, so the time t at which :

which has two solutions:

--> time at which Tina starts its motion, so we don't consider this one

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