Block B Elementary Functions PSP: Please finish the assignment from class on Thursday. See you on Monday!
Block C Elementary Functions PSP: Sorry for the delay in posting. I hope you all enjoyed the show today, and congratulations on a fine job to all that were in it.
The assignment is to finish the problem from class: A boy wants to hit a baseball high enough to hit an airplane that is 5280ft high in the air. What is the initial upward velocity that he must pass on to the ball for it to soar at least as high as the airplane?
In class we worked through much of the problem. I will try to list the information that we have produced, but you should try to work through from start to finish.
First, we "know" two points: ( 0,0 ) and ( tf,0 ) {tf = time final} The problem implies another point, ( tf/2,5280 ) -- this point would be the vertex of the parabola, and would be between any two points with the same y-value.
We have the vertical motion formula: h(t)= -16t^2 + vt +h where h(t) is the height at time t, t is the time, v is the velocity, and h is the initial height. Plugging in the vertex, we solved for v as v=(10560/tf)+4tf
Work through by plugging in the points you know and the velocity from above. You should be able to find an actual value for velocity. Once you get your answer, reread the question and adjust accordingly. Good luck!
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