Answer:
Given information is summarized as below:

1)Using first equation of kinematics for angular motion we have

2) Using second equation of kinematics for angular motion we have

3) The tangential speed is given as

4)
The resultant acceleration is given by

Answer:
Wavelength and frequency are inversely related.
Explanation:
-Longer waves have lower frequencies.
-Shorter waves have longer frequencies.
-This simply implies that that as the length of the wavelength increases it's frequency reduces.
Answer:
The total distance traveled is 736 m
Solution:
According to the question:
Initial velocity, v = 0
(since, the car is starting from rest)

Time taken, t = 8 s
Now, the distance covered by it in 8 s is given by the second eqn of motion:


Now, to calculate the velocity, we use eqn 1 of motion:
v' = v + at
v' = 0 + 4(8) = 32 m/s
Now, the distance traveled by the car with uniform velocity of 32 m/s for t' = 19 s:
distance, d' = v't'

Total distance traveled = d + d' = 128 + 608 = 736 m
Answer:
Explanation:
I'm going to assume that all the givens are in m/s. If I am correct, The orange line is speeding up. It is going from 4 m/s to 7 m/s. Its slant is from lower left to upper right. It is increasing in speed.
The green line is slowing down. It is going from 4 to 0 m/s. It's slant is from upper left to lower right.
The blue line is horizontal. It is neither slowing down or speeding up.
Answer:
(a): The bird speed after swallowing the insect is V= 4.83 m/s
(b): The impulse on the bird is I= 0.3 kg m/s
(c): The force between the bird and the insect is F= 20 N
Explanation:
ma= 0.3 kg
va= 6 m/s
mb= 0.01kg
vb= 30 m/s
(ma*va - mb*vb) / (ma+mb) = V
V= 4.83 m/s (a)
I= mb * vb
I= 0.3 kg m/s (b)
F*t= I
F= I/t
F= 20 N (c)