Answer:
a) 
b) 
Explanation:
Given:
- weight of the stone,
- initial velocity of vertical projection,
- air drag acting opposite to the motion of the stone,
The mass of the stone:
Now the acceleration of the stone opposite of the motion:
where:
d = deceleration
<u>In course of going up the net acceleration on the stone will be:</u>
a)
Now using the equation of motion:
where:
final velocity when the stone reaches at the top of the projectile = 0
h = height attained by the stone before starting to fall down
b)
during the course of descend from the top height of the projectile:
initial velocity, 
The acceleration will be:
here the gravity still acts downwards but the drag acceleration acts in the direction opposite to the motion of the stone, now the stone is falling down hence the drag acts upwards.
Using equation of motion:
(+ve acceleration because it acts in the direction of motion)
We are given the data for the angle of incidence and angle of refraction.
The first part of the problem is to plot the deviation and the angle of incidence. The minimum deviation is 37 with 65 degrees as the corresponding angle of incidence. The maximum deviation is 69 with a corresponding angle of incidence of 30 degrees. It is not advisable to use small values for the angle of incidence since it would result to a higher deviation from Snell's Law.
Answer:
the maximum possible constant speed is 8 m/sec
Explanation:
from the image, Given that
r(t) = (2t, t²,t²/3), -5 ≤ t ≤ 5
Given that the curvature K(t) = 2 / ( t² + 2)²
note that t² + 2 ≥ 2
(t² + 2)² ≥ 4
1 / (t² + 2)² ≤ 1/4
2 / (t² + 2)² ≤ 1/2
Also note that k(0) = 1/2
The normal component of acceleration satisfies aN = kv²
where v = ║v(t)║is the speed of the roller coaster.
The maximum possible normal component of acceleration is 32
so, aN ≤ 32 every where on the track
aN = kv² ≤ 1/2v² ≤ 32
v² ≤ 64
Therefore, the maximum possible constant speed is 8 m/sec
The state of matter depends upon how close the individual particles are together
The battery provides electrical energy to run an electric circuit.
