Answer:
The transverse displacement is
Explanation:
From the question we are told that
The generally equation for the mechanical wave is

The speed of the transverse wave is 
The amplitude of the transverse wave is 
The wavelength of the transverse wave is 
At t= 0.150s , x = 1.51 m
The angular frequency of the wave is mathematically represented as

Substituting values


The propagation constant k is mathematically represented as

Substituting values


Substituting values into the equation for mechanical waves

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Answer:

Explanation:
Given that,
The position of a particle is given by :

Let us assume we need to find its velocity.
We know that,

So, the velocity of the particle is
.
The car bounces off and moves in the opposite direction
Answer:
1.125m/s^2
Explanation:
Since acceleration is defined as the rate of change in velocity with respect to time. Mathematically
v^2= u^2+2as
Where a,v,u and s are the acceleration, final velocity, initial velocity and distance respectively.
a = ?
u = 0m/s
v = 15m/s
s = 100m
Substituting the values into the formula above
v^2= u^2+2as
15^2=0^2+2×a×100
225= 0+200a
225= 200a
Divide both sides by 200
225/200 = 200a/200
a= 1.125m/s^2
Hence the acceleration of the car is 1.125m/s^2.
Note that the car accelerated uniformly from rest, that was why the initial velocity was 0m/s