Answer:
2 seconds
Explanation:
The function of height is given in form of time. For maximum height, we need to use the concept of maxima and minima of differentiation.

Differentiate with respect to t on both the sides, we get

For maxima and minima, put the value of dh / dt is equal to zero. we get
- 32 t + 64 = 0
t = 2 second
Thus, the arrow reaches at maximum height after 2 seconds.
363 m/s is the speed of sound through the air in the pipe.
Answer: Option B
<u>Explanation:</u>
The formula used to calculate the wavelength given as below,

--------> eq. 1
In power system, harmonics define by positive integers of the fundamental frequency. So the third order harmonic is a multiple of the third fundamental frequency. Each harmonic creates an additional node and an opposite node, as well as an additional half wave within the string.
If the number of waves in the circuit is known, the comparison between standing wavelength and circuit length can be calculated algebraically. The general expression for this given as,

For first harmonic, n =1

For second harmonic, n =2

For third harmonic, n =3

-------> eq. 2
Here given f = 939 Hz, L = 0.58 m...And, substitute eq 2 in eq 1 and values, we get

The pressure of the air inside the balloon is higher than outside, and when you pop the balloon, the high pressure air expands quickly and makes a popping sound.
Answer:
Speed of 0.08 kg mass when it will reach to the bottom position is 1.94 m/s
Explanation:
When rod is released from rest then due to unbalanced torque about the hinge the system will rotate
Now moment of inertia of the system is given as

now we have



now we have

so we have


now by energy conservation we can say work done by gravity must be equal to change in kinetic energy
so we have



Now speed of 0.08 kg mass when it reaches to bottom point is given as



Answer:
Newton's second law is F=ma. And since inertia is the resistance an object has against a change in velocity or force, you must push a lot harder to start moving an object, but once it starts to move, it is a lot easier, until you go to stop it.
Explanation: