Answer:
v = 2.18m/s
Explanation:
In order to calculate the speed of Betty and her dog you take into account the law of momentum conservation. The total momentum before Betty catches her dog must be equal to the total momentum after.
Then you have:
(1)
M: mass Betty = 40kg
m: mass of the dog = 15kg
v1o: initial speed of Betty = 3.0m/s
v2o: initial speed of the dog = 0 m/s
v: speed of both Betty and her dog = ?
You solve the equation (1) for v:

The speed fo both Betty and her dog is 2.18m/s
Answer:
The maximum height of the ball will be "16.53 m".
Explanation:
Given that,

As we know,
The initial as well the final height on the ball will be same after it reaches it's maximum height.
then,
⇒ 
where, 


hence,
The max height of the ball will be:
⇒ 



Gases are not ionized while plasma is.
The final velocity of the object is 16m\s.
Hope this helps! :)