To celebrate the start of October, you want to win a pumpkin catapult contest, which requires you to build a catapult and launch a pumpkin from it. You build your catapult so that it releases the pumpkin when the catapult arm is exactly vertical, as shown in the picture.a. Assume the pumpkin is launched when the catapult arm isexactly vertical from a height of R = 3 m, as shown. For how long is the pumpkin in the air?b. What is the pumpkin’s speed just before it hits the ground? This image depicts a trebuchet launching a pumpkin. - **Trebuchet Structure**: The trebuchet has a wooden arm mounted on a wheeled base. The arm is shown in a vertical position with an axle at the top. - **Pumpkin**: Positioned at the top of the arm, the pumpkin is about to be launched. A dashed line with an arrow indicates the forward direction of the trajectory.- **Label "R"**: An arrow labeled "R" runs vertically along the arm, representing the arm's length or the height from the ground to the pivot point or axle.This diagram illustrates the basic operation of a trebuchet, focusing on the trajectory and mechanics involved in launching a projectile.

To celebrate the start of October, you want to win a pumpkin catapult contest, which requires you to build a catapult and launch a pumpkin from it. You build your catapult so that it releases the pumpkin when the catapult arm is exactly vertical, as shown in the picture. a. Assume the pumpkin is launched when the catapult arm is exactly vertical from a height of R = 3 m, as shown. For how long is the pumpkin in the air? b. What is the pumpkin’s speed just before it hits the ground?

To celebrate the start of October, you want to win a pumpkin catapult contest, which requires you to build a catapult and launch a pumpkin from it. You build your catapult so that it releases the pumpkin when the catapult arm is exactly vertical, as shown in the picture. a. Assume the pumpkin is launched when the catapult arm is exactly vertical from a height of R = 3 m, as shown. For how long is the pumpkin in the air? b. What is the pumpkin’s speed just before it hits the ground?