Answer:
7.45 s.
Explanation:
Given:
h = 68.1 m
vi = 0 m/s
vf = 42.4 m/s
g = 9.81 m/s^2
Using,
h = vi*t +1/2*(a*t^2)
68.1 = 1/2 * (9.81*t^2)
t = sqrt((68.1*2)/9.81)
= 3.726 s.
Total time of flight = 2*t
= 2 * 3.726
= 7.45 s.
Hello, I see you are in a jam. Lemme help.
1.) True
2.) True
3.) True
4.) True
5.) True
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Explanation:
Resonance: Resonance is the phenomenon which occurs when the applied frequency on the object is equal to its natural frequency.
In the given problem, the singing of an opera singer caused a drinking glass to shatter.
This occurs due to the phenomenon resonance. The applied frequency of the singing of an opera singer on the drinking glass matches with the natural frequency of the drinking glass. It causes a glass to shatter.
Answer:
a) h = 593.50 m
b) h₁₁ = 103 m
c) vf = 107.91 m/s
Explanation:
a)
We will use second equation of motion to find the height:

where,
h = height = ?
vi = initial speed = 0 m/s
t = time taken = 11 s
g = 9.81 /s²
Therefore,

<u>h = 593.50 m</u>
b)
For the distance travelled in last second, we first need to find velocity at 10th second by using first equation of motion:

where,
vf = final velocity at tenth second = v₁₀ = ?
t = 10 s
vi = 0 m/s
Therefore,

Now, we use the 2nd equation of motion between 10 and 11 seconds to find the height covered during last second:

where,
h = height covered during last second = h₁₁ = ?
vi = v₁₀ = 98.1 m/s
t = 1 s
Therefore,

<u>h₁₁ = 103 m</u>
c)
Now, we use first equation of motion for complete motion:

where,
vf = final velocity at tenth second = ?
t = 11 s
vi = 0 m/s
Therefore,

<u>vf = 107.91 m/s</u>