Equations of Kinematics, including gravity

[Runner1598]

Homework Statement

A hot-air balloon is rising upward with a constant speed of 2.20 m/s. When the balloon is 3.30 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Homework Equations

The Attempt at a Solution

I just started taking Physics 1111 at college and never having taken physics in high school, I have no idea where to start. I assume you would use the knowledge that an object falls towards Earth at 9.8 m/s^2... I just don't even know what equation of kinematics to plug this information into? Thank you for your help!

 

[SteamKing]

Homework Statement

A hot-air balloon is rising upward with a constant speed of 2.20 m/s. When the balloon is 3.30 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Homework Equations

The Attempt at a Solution

I just started taking Physics 1111 at college and never having taken physics in high school, I have no idea where to start. I assume you would use the knowledge that an object falls towards Earth at 9.8 m/s^2... I just don't even know what equation of kinematics to plug this information into? Thank you for your help!

You can start by writing the eqs. of kinematics in section 2 of the template. There are only a handful.

You want an equation which relates distance, time, and acceleration.

 

[insightful]

Starting out, you will do yourself a favor by breaking the problem into parts that are easier to visualize and solve. In this case, what is a good first part of the path of the compass?

 

[RUber]

What is the initial position?
What is the initial velocity?
What is the constant acceleration?

Remember that velocity can be described by:
##\int_{t_0}^t a(s) ds +v(t_0)= v(t)##
and position can be described by:
##\int_{t_0}^t v(r) dr +p(t_0)= p(t)##.

Is simple integration part of your toolkit? What are the equations of kinematics?