Jessie and Jayla simultaneously toss tennis balls from the window of an apartment building at a height of 150 feet into a bucket at a height of 15 feet, 3 inches on the roof of the building next door. The quadratic functions that model the height, in feet, of the balls after t seconds are h(t) = – 16t^2 – 5t + 150 for Jessie and h(t) = – 16t^2 + 5t + 150 for Jayla. Which ball lands in the bucket sooner? Examine the two equations to explain the difference in the times.
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Jayla has thrown her ball upward, so it will actually go up for about 1/6 of a second before it starts going down. Jessie has thrown her ball downward, so her ball will always be lower than Jayla’s.
Jessie’s ball goes down faster because -5t is down and +5t is up