Since this represents a maximum of the vertical position function for the pumpkin trajectory, y(x), find the maximum height the pumpkin reaches during its trajectory. A student club is designing a trebuchet for launching a pumpkin into projectile motion. Based on an analysis of their design, they predict that the trajectory of the launched pumpkin will be parabolic and described by the equation y(x) = ax² + bx where a = - -8.0 × 10-³ m¯¹,b = 1.0 (unitless), x is the horizontal position along the pumpkin trajectory and y is the vertical position along the trajectory. The students decide to continue their analysis to predict at what position the pumpkin will reach its maximum height and the value of the maximum height.2 Part DIn order to determine whether this horizontal position of the pumpkin trajectory represents a minimum or maximum, evaluate► View Available Hint(s)d²ydx²d² y = 2a=-1dx²a = -8.0 × 10-³ m (negative, so this is a maximum)d²ydx²Submitd²y-=a= -8.0 × 10-³ m (negative, so this is a minimum)dx²-16 × 10-³2am (negative, so this is a minimum)==-16 × 10-³m (negative, so this is a maximum)Previous AnswersCorrectAt the location of a maximum of a function, its second derivative will be negative.d² ydx²at xm-

Name: Since this represents a maximum of the vertical position function for
Uploaded: 2024-03-20T06:57:47.000Z
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Description: Since this represents a maximum of the vertical position function for the pumpkin trajectory, y(x), find the maximum height the pumpkin reaches during its trajectory. A student club is designing a trebuchet for launching a pumpkin into projectile mot