Halloween Gourd Launcher#

At a local pumpkin patch, Mateo is hired to create a Hallowe’en gourd launcher. Mateo wants to launch a \(kg\) gourd (decorated as an “Angry Bird”) at a large pumpkin (decorated as a “pig”) which sits on top of a \(h =\) 1.61 \(m\) tall hay bale as shown in the figure.

Assume that the gourd undergoes projectile motion and that it hits the pumpkin (“pig”) with a velocity of \(\overrightarrow{v} =\) \(\hat{x} + 0 \hat{y} \frac{\text{m}}{\text{s}} \).

(You may assume the initial height of where the gourd is launched from to be negligible.)

A gourd is launched with velocity v nought towards a pig-shaped pumpkin sitting on top of a hay bale of height h.

Part 1#

What was the \(x\)-component of the gourd’s initial velocity?

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 2#

What was the \(y\)-component of the gourd’s initial velocity?

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 3#

What horizontal distance away from the pumpkin was the gourd launched from?

Answer Section#

Please enter in a numeric value in \(m\).

Part 4#

What was the magnitude of the initial velocity of the gourd?

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 5#

What was the angle above the horizontal at which the gourd was launched?

Answer Section#

Please enter in a numeric value in degrees.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.