Answer:
tair = 11.5 s
vi = 60.3 m/s
Explanation:
In the x direction:
Given:
x₀ = 0 m
x = 600 m
v₀ = v cos 30° = v √3/2
a = 0 m/s²
x = x₀ + v₀ t + ½ at²
600 = 0 + (v √3/2) t + ½ (0) t²
600 = √3/2 v t
1200/√3 = v t
In the y direction:
Given:
y₀ = 300 m
y = 0 m
v₀ = v sin 30° = v/2
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
0 = 300 + (v/2) t + ½ (-9.8) t²
0 = 300 + 1/2 v t − 4.9t²
Substitute:
0 = 300 + 1/2 (1200/√3) − 4.9t²
0 = 300 + 600/√3 − 4.9t²
4.9t² = 300 + 600/√3
t = 11.5 s
Solve for v:
v t = 1200/√3
v = 60.3 m/s
Graph:
desmos.com/calculator/1syounu0cg
Answer:
False.
Separation between channel is required when frequency division multiplexing (FDM) is used to aggregate several modulated channels together.
Explanation:
In Frequency Division Multiplexing (FDM), the total bandwidth is divided to a set of frequency bands that do not overlap. Each of these bands is a carrier of a different signal that is generated and modulated by one of the sending devices.
The frequency bands are separated from one another by strips of unused frequencies called the guard bands, to prevent overlapping of signals.
The modulated signals are combined together using a multiplexer (MUX) in the sending end. The combined signal is transmitted over the communication channel, thus allowing multiple independent data streams to be transmitted simultaneously. At the receiving end, the individual signals are extracted from the combined signal by the process of demultiplexing (DEMUX).
Answer:
after 38.8 years it will double
correct option is D 38.8 years
Explanation:
given data
population grows rate = 1.8%
to find out
how many years will it take to double
solution
we consider here initial population is x
so after 1 year population will be = (100% + 1.8% ) x = 1.018 x
and after n year population will be = 
so it will double
2x =
take log both side
log 2 = n log (1.018)
n = 
n = 38.853
so after 38.8 years it will double
correct option is D 38.8 years
Explanation:
Given that,
Force with which a child hits a ball is 350 N
Time of contact is 0.12 s
We need to find the impulse received by the ball. The impulse delivered is given by :
So, the impulse is 42 N-m..
We know that he change in momentum is also equal to the impulse delivered.
So, impulse = 42 N-m and change in momentum =42 N-m.
