Explanation:
It is given that,
Frequency of diagnostic ultrasound, f = 3.82 MHz = 3820 Hz
The speed of the sound in air, v = 343 m/s
(a) We need to find the wavelength in air of such a sound wave. Let it is given by λ₁
i.e.
(b) If the speed of sound in tissue is 1650 m/s .
Hence, this is the required solution.
Answer:
The answer is 35.45 yds
Explanation:
You have to picture this to be able to understand it better (see attachment).
Start at the origin which is when the quarterback (QB) takes the ball. He runs backwards 12.1 yards, runs sideways for 19.8 yards (it doesn´t matter if he runs right or left), then he throws the ball forward 41.5 yards. If you look at the attachment, you can see I drew the path that the football followed. And then connected the dots from the origin and finish. The distance between those two points is the magnitude of the resultant displacement.
In order to calculate it, all you need to do is use the Pythagoream theorem, which says that the square of the hypotenuse equals the sum of the squares of the legs a and b of the triangle rectangle.
In this case, you know the length of leg a to be 19.8 yards which how much it moves sideways. And then, to get the length of leg b, all you need to do is substract how much it moved backwards from the 41.5yards forward displacement. This results in b leg being 29.4 yards long.
Now you have a triangle with:
Substituting this numbers in the equation:
The ball's velocity at 2 sec is 30.4 m/s at (below the horizontal)
Explanation:
The motion of the ball is a projectile motion, therefore it consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
This means that:
- The horizontal velocity of the ball is constant, and it is given by
where
u = 35 m/s is the initial speed of the ball
is the angle of projection
Substituting,
- The vertical velocity is changing, and its value is given by
where
is the initial vertical velocity
is the acceleration of gravity (negative because it points down)
t is the time
At t = 2 s,
where the negative sign means that at t = 2 s, the vertical velocity points down.
Now we can find the magnitude of the ball's velocity at 2 sec:
While the direction is given by
Learn more about projectile motion:
#LearnwithBrainly
Answer:
332.01 m
Explanation:
The total distance be the
Case : 1 :- Acceleration
u = 0 m/s
v = 37 m/s
a = 25 m/s²
So, Applying equation of motion as:
Case : 2 :- No Acceleration
t = 7 s
v = 37 m/s
Case : 3 :- Deceleration
a = -15 m/s²
u = 37 m/s
v = 0 m/s
So, Applying equation of motion as:
<u>Hence, S = 27.38 + 259 + 45.63 m = 332.01 m</u>