Before the engines fail 
, the rocket's horizontal and vertical position in the air are
and its velocity vector has components
After 
, its position is
and the rocket's velocity vector has horizontal and vertical components
After the engine failure 
, the rocket is in freefall and its position is given by
and its velocity vector's components are
where we take 
.
a. The maximum altitude occurs at the point during which 
:
At this point, the rocket has an altitude of
b. The rocket will eventually fall to the ground at some point after its engines fail. We solve 
for 
, then add 3 seconds to this time:
So the rocket stays in the air for a total of 
.
c. After the engine failure, the rocket traveled for about 34.6 seconds, so we evalute 
for this time :
Answer:
How high the sound or how low the sound is depending on the pitch of the sound which in this case the frequencies of the sound. The higher of the frequencies , the higher of the pitch but it has the shortest length of wave (λ). That's why AM radio have a longer range but bad audio quality than FM radio that have better audio quality with shorter range.
Answer:
16 J
Explanation:
It is given that,
Work done, W = 2 J
A spring is stretched by 2.0 cm from its equilibrium length
We need to find how much more work will be required to stretch it an additional 4.0 cm.
Let k is the spring constant of the spring. When W = 2J, and x = 2 cm, then energy required to stretch the spring is :
The energy required to stretch the spring from 2 cm to additional 4 cm i.e. 2+4= 6 cm.
So, the required work done is 16 J.
Ions were once atoms with the same number of electrons and protons. Since they have opposite charges atoms are neutral. When they become ions the lose or gain electrons and become unbalanced.These different charges are attracted to each other via electric forces<span>.</span>
