Answer:
13.9 m/s
Explanation:
The velocity of the train along the inclined surface is given by the ratio between the distance travelled, d, and the time taken, t:
where we have
d = 400 m
t = 5 s
Substituting,
This is the velocity of the train along the inclined plane. Now we can find the vertical component of the velocity by using the formula:
where 
is the angle of the slope. Substituting, we find
Answer:
Your average speed is 60 kilometers per hour
Explanation:
240 divided by 4 is 60
240/4=60
Answer: 276 days
Explanation:
This problem can be solved using the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed
is the half life of polonium-210
Knowing this, let's substitute the values and find from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing :
(7)
<span>(a) How fast is it moving when it reaches 12.0 m?
To determine the velocity as it reaches 12.0 m, we use one of the kinematic equations,
</span>V^2 = Vo^2 + 2gh
<span>where Vo = 20 m/s. </span>
<span> g = -9.8 m/s^2 </span>
<span> h = 12.0 m. </span>
V^2 = 20^2 + 2(-9.8)(12.0)
<span>V^2 = 164.8
V = 12.84 m/s
(b) How long is required to reach this height?
To determine the maximum height, we use the same equation we used above,
</span>V^2 = Vo^2 + 2gh
where Vo = 20 m/s.
g = -9.8 m/s^2
V = 0 (since at the maximum height velocity is zero)
0^2 = 20^2 + 2(-9.8)h
<span>h = 20.41 m
(c) Why are there two answers for (b)?
There are two answers for b because it would travel a distance up and travel a distance down.</span>
Answer:
5
Explanation:
every number after the decimal
