Part C: Use the result from Part B to evaluate the value of horizontal position of the pumpkin trajectory, xm, at which the slope of y(x) is 0. Part AA 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.What is the derivative of the vertical position of the pumpkin trajectory with respect to its horizontal position?View Available Hint(s)Odydxdydx-= 2ax + bdydx2axdydx= ax= 0Submit Previous AnswersCorrectIn order to evaluate the maximum of a function a first step is to obtain the derivative of the function. Part BIn order to find the value of the horizontal position of the pumpkin for which its height is a maximum, we need to seek values of xm for which:► View Available Hint(s)dydxdydxdydx=y(x)Submit--2axm+b has its minimum value, which must be determined by obtaining2axm+b=0n² +b=02= axm2axm + b = ymax, which will be determined in the next step of the analysisPrevious Answersd²ydx²CorrectThe derivative of a function (its slope) is 0 at maxima and minima of the function.

Name: Part C: Use the result from Part B to evaluate the value of horizontal
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: Part C: Use the result from Part B to evaluate the value of horizontal position of the pumpkin trajectory, xm, at which the slope of y(x) is 0. Part AA student club is designing a trebuchet for launching a pumpkin into projectile motion. Based on an