## Related questions with answers

In Game 3 of the 1970 NBA championship series, the L.A. Lakers were down by two points with three seconds left in the game. The ball was inbounded to Jerry West, whose image is silhouetted in today's NBA logo. He launched and made a miraculous shot from beyond midcourt, a distance of 60 feet, to send the game over time (there was no 3-point line at that time).

Through careful analysis of the game tape, one could determine the height at which Jerry West released the ball, as well as the amount of time that elapsed between the time the ball left his hands and the time the ball reached the basket. This information could then be used to write a rule for the ball's height $h$ in the fort as a function of time in flight $t$ in seconds.

Write a rule giving $h$ as a function of $t$.

Solution

VerifiedThe rule for $h$ in function of time $t$ is formulated as

$\begin{align*} h=&\;8+40.8t-16t^2 \end{align*}$

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