Physical forms are: gas,liquid,and solid
(a) Both the girl and the boy have the same nonzero angular displacement.
Explanation:
The angular displacement of an object moving in uniform circular motion, as the boy and the girl on the merry-go-round, is given by

where
is the angular speed
t is the time interval
For a uniform object in uniform circular motion, all the points of the object have same angular speed. This means that the value of
is the same for the boy and the girl.
Therefore, if we consider the same time interval t, the boy and the girl will also have same nonzero angular displacement.
(b) The girl has greater linear speed.
Explanation:
The linear (tangential) speed of a point along the merry-go-round is given by

where
is the angular speed
r is the distance of the point from the centre of the merry-go-round
In this problem, the girl is near the outer edge, while the boy is closer to the centre: since the value of
is the same for both, this means that the value of r is larger for the girl, so the girl will also have a greater linear speed.
Answer:
35 m/s down
Explanation:
The horizontal speed of the package is 70 m/s. So the time needed to reach the hikers is:
1000 m / (70 m/s) = 14.28 s
Taking down to be positive, the initial velocity needed is:
Δy = v₀ t + ½ at²
1500 m = v₀ (14.28 s) + ½ (9.8 m/s²) (14.28 s)²
v₀ = 35 m/s
The package must be launched down with an initial velocity of 35 m/s.
Answer:
Explanation:
Given
Ray of light incident on plane making an angle of
with normal
Thus incident angle 
So according to the law of incidence is equal to angle of reflection

thus 
and angle between mirror and reflected ray 

Answer:
speed of boat as

river speed is given as

Explanation:
When boat is moving down stream then in that case net resultant speed of the boat is given as
since the boat and river is in same direction so we will have

Now when boat moves upstream then in that case the net speed of the boat is opposite to the speed of the river
so here we have

as we know when boat is in downstream then in that case it covers 24 miles in 2 hours

also when it moves in upstream then it covers same distance in 3 hours of time



so we have speed of boat as

river speed is given as
