Answer:
<em>The speed of the projectile when it impacts the ground is 1000 m/s</em>
Explanation:
<u>Vertical Launch</u>
When an object is launched vertically and upwards it starts to move at an initial speed vo, then the acceleration of gravity makes that speed to reduce until it reaches 0. The object has reached its maximum height. Then, it starts to move downwards in free fall, with initial speed zero and gradually increasing it until it reaches the ground level. We will demonstrate that the speed it has when impacts the ground is the same (and opposite) as the initial speed vo.
The speed when the object is moving upwards is given by

The time it takes to reach the maximum height is when vf=0, i.e.

solving for t

The maximum height reached is

Then, the object starts to fall. The object's height is given by

where t' is the time the object has traveled downwards. The height will be 0 again when

Solving for t'

We can see the time it takes to reach the maximum height is the same it takes to return to ground level. Of course, the speed when it happens is

Thus, the speed of the projectile when it impacts the ground is 1000 m/s
Answer:
(a) 1, average velocity = -65.6 m/s
2, average velocity = -64.8 m/s
3, average velocity = -64.16 m/s
(b) The instantaneous velocity is -96 m/s
Explanation:
(a)
Average velocity is given by;

(1)

(2)

(3)

b. y = 235 - 16t²
The instantaneous velocity is given by;
v = dy /dt
dy / dt = -32t
when t = 3 s
v = -32(3)
v = -96 m/s
The 1st example is NOT a longitudinal wave
Explanation:
Waves are periodic disturbance of the space that travel carrying energy but not matter.
Depending on their vibration, waves are classified into two types:
- Transverse waves: in transverse waves, the vibration of the wave occurs in a direction perpendicular to the direction of propagation of the wave. Examples of transverse waves are electromagnetic waves.
- Longitudinal waves: in longitudinal waves, the vibration of the wave occurs in a direction parallel to the direction of propagation of the wave (back and forth), creating regions of higher particle density (compressions) and lower particle density (rarefactions). Examples of longitudinal waves are sound waves.
In this problem we have four options given:
- The first picture represents a transverse wave, because the vibration of the robe is up and down, while the wave propagates on the left-right direction
- The second picture represents a sound wave, which is a longitudinal wave
- The 3rd picture represents a longitudinal wave, since the vibration of the slinky is back and forth along the direction of propagation
- The 4th picture also represents a sound wave, which is longitudinal
Therefore, the only wave which is not longitudinal is the one in the 1st picture.
Learn more about waves:
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