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2 years ago

Ultrasound is used to scan the unborn baby of a pregnant mother.

1 answer:

4 0

Explanation:

Echo method formula for speed of sound : 2 x distance / time taken

2 x distance / 58 = 1540 m/s
2 x distance = 1540 m/s / 58 s
= 26.55172414 m
Distance = 26.55172414 / 2
= 13.27586207
= 13 m

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A record of travel along a straight path is as follows:

nignag [31]

Answer:

a) Total displacement = 3986.54 m

b) Average speeds

Leg 1 -> 11.22 m/s

Leg 2 -> 22.44 m/s

Leg 3 -> 11.20 m/s

Complete trip -> 21.63 m/s

Explanation:

a) Leg 1:

Initial velocity, u = 0 m/s

Acceleration , a = 2.04 m/s²

Time, t = 11 s

We have equation of motion s= ut + 0.5 at²

Substituting

s= ut + 0.5 at²

s = 0 x 11 + 0.5 x 2.04 x 11²

s = 123.42 m

Leg 2:

We have equation of motion v = u + at

Initial velocity, u = 0 m/s

Acceleration , a = 2.04 m/s²

Time, t = 11 s

Substituting

v = 0 + 2.04 x 11 = 22.44 m/s

We have equation of motion s= ut + 0.5 at²

Initial velocity, u = 22.44 m/s

Acceleration , a = 0 m/s²

Time, t = 2.85 min = 171 s

Substituting

s= ut + 0.5 at²

s = 22.44 x 171 + 0.5 x 0 x 171²

s = 3837.24 m

a) Leg 3:

Initial velocity, u = 22.44 m/s

Acceleration , a = -9.73 m/s²

Time, t = 2.31 s

We have equation of motion s= ut + 0.5 at²

Substituting

s= ut + 0.5 at²

s = 22.44 x 2.31 + 0.5 x -9.73 x 2.31²

s = 25.88 m

Total displacement = 123.42 + 3837.24 + 25.88 = 3986.54 m

Average speed is the ratio of distance to time.

b) Leg 1:

$v_{avg}=\frac{123.42}{11}=11.22m/s$

Leg 2:

$v_{avg}=\frac{3837.24}{171}=22.44m/s$

Leg 3:

$v_{avg}=\frac{25.88}{2.31}=11.20m/s$

Complete trip:

$v_{avg}=\frac{3986.54}{11+171+2.31}=21.63m/s$

5 0

3 years ago

The position of a particle is given by ~r(t) = (3.0 t2 ˆi + 5.0 ˆj j 6.0 t kˆ) m

Julli [10]

Answer:

$v=(6ti+6k)\ m/s$

Explanation:

Given that,

The position of a particle is given by :

$r(t) = (3.0 t^2 i + 5.0j+ 6.0 tk) m$

Let us assume we need to find its velocity.

We know that,

$v=\dfrac{dr}{dt}\\\\=\dfrac{d}{dt}(3.0 t^2 i + 5.0j+ 6.0 tk) \\\\=(6ti+6k)\ m/s$

So, the velocity of the particle is $(6ti+6k)\ m/s$ .

5 0

3 years ago

What are 3 states of matter.write 1 fact for each state of matter

Masteriza [31]

The three states of matter are:
Solid- The atoms are packed tightly.
Liquid-Liquids have a Definite volume but not a definite shape.
Gas-No definite volume and no definite shape;

7 0

3 years ago

Read 2 more answers

A car was going at 20m/s along a straight highway. The driver slams on the break to avoid hitting a deer. The car had a negative

My name is Ann [436]

I’m not to sure but I think the answer is -0.10

8 0

3 years ago

Do electromagnetic waves travel through a medium

vladimir1956 [14]

No, they actually travel through the vacuum of outer space, but it also requires the absence of a material sedium.

3 0

4 years ago