Relative Motion and Two-Dimensional Motion

[shortman12012]

Homework Statement

A blimp is ascending at the rate of 7.6 m/s at a height of 67 m above the ground when a package is thrown from its cockpit horizontally with a speed of 4.5 m/s.
(a) How long does it take for the package to reach the ground?(b) With what velocity (magnitude and direction) does it hit the ground?
magnitude
direction ° below the horizontal

The Attempt at a Solution

I'm not really sure how to start this problem exactly. I know I'll have to use vectors and add them up but i just need some help setting up the problem please

 

[Hootenanny]

Homework Statement

A blimp is ascending at the rate of 7.6 m/s at a height of 67 m above the ground when a package is thrown from its cockpit horizontally with a speed of 4.5 m/s.
(a) How long does it take for the package to reach the ground?


(b) With what velocity (magnitude and direction) does it hit the ground?
magnitude
direction ° below the horizontal

The Attempt at a Solution

I'm not really sure how to start this problem exactly. I know I'll have to use vectors and add them up but i just need some help setting up the problem please

Well, what is the package's initial velocity?

 

[shortman12012]

well i know the package's initial velocity is 4.5 m/s. I'm just not sure how to combine both the movement of the blimp and then calculating the velocity of the package as well

 

[Hootenanny]

well i know the package's initial velocity is 4.5 m/s.

Not quite.

I'm just not sure how to combine both the movement of the blimp and then calculating the velocity of the package as well

The package's initial velocity is the sum of its velocity relative to the blimp and the blimp's velocity.

 

[shortman12012]

so would it be
Velocity of package to ground = velocity of package to blimp + velocity of blimp to the ground?
V(PG) = V(PB) + V(BG)
then i just use vector addition and get the velocity for V(PG)?

 

[Hootenanny]

so would it be
Velocity of package to ground = velocity of package to blimp + velocity of blimp to the ground?
V(PG) = V(PB) + V(BG)
then i just use vector addition and get the velocity for V(PG)?

Yes