A student standing on the ground throws a ball straight up. The ball leaves the

Question

A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 11.0 m/s when the hand is 2.30 m above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.)

I am supposed to solve this using the kinematics equations:

V(final)=V(initial) + a*delta'T'

delta'X'=V(initial)*delta'T' + .5*a*(delta'T')^2

(V(final))^2=(V(initial))^2 + 2*a*delta'X'

delta'T'=.5(V(initial)+V(final))*delta'T'

I have attempted this problem multiple times and am getting an answer of around 2.66 s, however, this is not correct.

Explanation / Answer

hf=hi+ vi*t-4.9t^2 0=1.8+11t-4.9t^2 solve the quadratic equation for t.

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