Answer:
a) v = 1524.7 m/s
b) T = 8.47*10^-4 s
λ = 1.29 m
Explanation:
a) First, in order to calculate the speed of the sound wave, you take into account that the velocity is constant, then, you use the following formula:
d: distance traveled by the sound wave, which is twice the distance to the ocean bottom = 2*324 m = 648 m
t: time that sound wave takes to return to the sub = 0.425
hence, the speed of the sound wave is 1524.7 m/s
b) Next, with the value of the velocity of the wave you can calculate the wavelength of the wave, by using the following formula:
f: frequency = 1.18*10^3 Hz
And the period is:
hence, the wavelength and period of the sound wave is, respectively, 1.29m and 8.47*10^-4 s
Answer is B
Hope this helped!
Answer:
a)a=5.01m/s^2
b)t=11.26s
Explanation:
A body that moves with constant acceleration means that it moves in "a uniformly accelerated movement", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.
When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.
Vf=Vo+a.t (1)
{Vf^{2}-Vo^2}/{2.a} =X(2)
X=Xo+ VoT+0.5at^{2} (3)
X=(Vf+Vo)T/2 (4)
Where
Vf = final speed
Vo = Initial speed
T = time
A = acceleration
X = displacement
In conclusion to solve any problem related to a body that moves with constant acceleration we use the 3 above equations and use algebra to solve
to solve the question a, we can use the ecuation number 2
Vo=0
Vf=10.5 m/s
x=11m
{Vf^{2}-Vo^2}/{2.a} =X
{Vf^{2}-Vo^2}/{2.x} =a
{10.5^{2}-0^2}/{2x11} =a
a=5.01m/s^2
to find the time we can use the ecuation number 1
Vf=Vo+a.t
t=(Vf-Vo)/a
t=(10.5-0)/5.01=2.09s
part b
in this case the spees is constant, so the movement is defined by the following ecuation
X=VT
t=x/v
t=96.3/10.5=9.17s
to find the total time we sum the times when the speed is constant and when the acceleration is constan
t=9.17+2.09
t=11.26s
X=.5a(t^2), x=70m, t=3.6s, a=?. a=140/(3.6^2)=10.8m/s^2.
