Q 1. A mischievous Phys1171 student is taking a hot air balloon ride. The balloon is traveling horizontally at 9.0
m/s and is 110 m above the ground. The student notices a little bunny rabbit, off into the distance, in the balloon’s
direction of travel. Being mischievous, the student prepares to drop a water balloon on the poor defenseless rabbit.
Rather than throw the water balloon, the student simply lets go of it over the edge.
(a) Draw a diagram of the water balloon’s trajectory. On your diagram, label the initial and final height, initial
horizontal distance as well as the x and y components of the initial and final velocities. Don’t forget to specify your
coordinate system, i.e. which directions are positive.
(b) Calculate the time taken for the water balloon to hit the ground.
(c) Calculate at what horizontal distance from the bunny rabbit, must the student drop the water balloon to make
sure it hits the target. Label this distance on your diagram.
(d) Calculate the speed at which the water balloon hits the poor bunny.

ty, please read the rules for homework help (https://www.askmehelpdesk.com/math-sciences/announcement-font-color-ff0000-u-b-read-first-expectations-homework-help-board-b-u-font.html). (click the blue, it's a link)

However, because I'm feeling nice, I'll help you start.

You need to make two lists of information, one for the X-values, and one for the Y-values.
Plug in the values you were given.

(small I means initial, small F means final)
X:
iDistance:
fDistance:
iVelocity: 9.0 m/s
fVelocity:
Acceleration:
Time:

Y:
iDistance: 110 m
fDistance:
iVelocity:
fVelocity:
Acceleration:
Time:

Doesn't look like much? That's because you need to analyze the data given.

First off, X:
iDistance: Unless otherwise noted, always start at 0.
fDistance: How far the water balloon will travel
iVelocity: Speed in X-axis. Given
fVelocity: Final speed. Is it going to be moving when it hits the ground?
Acceleration: Is there any acceleration in the x-axis?
Time: Unknown for now.

Y:
iDistance: 110, because 0 is the ground.
fDistance: It's going to land on the ground, so 0.
iVelocity: Is he moving up or down now?
fVelocity: The speed when it hits the ground.
Acceleration: Acceleration due to gravity.
Time: Unknown for now.

Now, you use that knowledge to plug in and get this:
X:
iDistance: 0 m
fDistance: ?
iVelocity: 9.0 m/s
fVelocity: ?
Acceleration: 0 m/s
Time: ?

Y:
iDistance: 110m
fDistance: 0m
iVelocity: 0m/s
fVelocity: ?
Acceleration: -9.8m/s
Time: ?

Use your given equations to solve, with that information.

The formulae you'll require are:

s=ut + \frac12 at^2

Distance = Speed \times Time

v = u + at

Where s is displacement, u is initial velocity, t is time, a is acceleration, v is final velocity.