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.

Question

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.

abb0t · Answer

How strange that the window didn't break...
anyways, find their derivatives to find the velocity and evaluate at each time that will tell you the velicyty and time of the ball landing.