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Mandarinka [93]
2 years ago
8

A schoolbus accelerates to 65 mph and enters the freeway. It travels for 2.3 hours at that speed while on the freeway. What's th

e distance travelled on the freeway?​
Physics
1 answer:
PtichkaEL [24]2 years ago
5 0

Answer:

The distance travelled on the freeway is 149.5 miles.

Explanation:

The school bus travels on the freeway at constant speed. According to the statement, we need to calculate the distance travelled by the vehicle by means of the following formula:

x = v\cdot t (1)

Where:

x - Traveled distance, in miles.

v - Speed, in miles per hour.

t - Time, in hours.

If we know that v = 65\,\frac{mi}{h} and t = 2.3\,h, then the distance travelled by the school bus is:

x = v\cdot t

x =  \left(65\,\frac{mi}{h} \right)\cdot (2.3\,h)

x = 149.5\,mi

The distance travelled on the freeway is 149.5 miles.

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A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass is given an additional 6-in displacement in the positive dir
givi [52]

Answer:

\frac{1}{8} y'' + 2y' + 24y=0

Explanation:

The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by

my'' + \zeta y' + ky=0

Where m is the mass, ζ is the damping constant, and k is the spring constant.

The spring constant k can be found by

w - kL=0

mg - kL=0

4 - k\frac{1}{6}=0

k = 4\times 6 =24

The damping constant can be found by

F = -\zeta y'

6 = 3\zeta

\zeta = \frac{6}{3} = 2

Finally, the mass m can be found by

w = 4

mg=4

m = \frac{4}{g}

Where g is approximately 32 ft/s²

m = \frac{4}{32} = \frac{1}{8}

Therefore, the required differential equation is

my'' + \zeta y' + ky=0

\frac{1}{8} y'' + 2y' + 24y=0

The initial position is

y(0) = \frac{1}{2}

The initial velocity is

y'(0) = 0

6 0
3 years ago
Cheryl has a mug she says is made up of matter. Heather says that the hot choclate inside the cup is made up of matter too. Keat
dangina [55]

<u>Answer:</u>

Cheryl, Heather and Keaton all are correct.

<u>Explanation:</u>

Everything around you is made of matter and matter is anything that has mass and occupies space or in other words, anything which has volume is called matter.

Here, in the given example, Cheryl, Heather and Keaton all are correct because the mug, the hot chocolate which is inside the mug and the steam coming out of it, all have mass. Therefore, all are correct except for Mikayla.

6 0
3 years ago
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Solving elastic collisions problem the hard way
vova2212 [387]

Answer:

<h2>Solving elastic collisions problem the hard way</h2><h3 />

Explanation:

perfect drawing

4 0
3 years ago
If earth had no atmosphere , would a falling object ever reach terminal velocity?
Bas_tet [7]
The right answer is no.
6 0
3 years ago
The student makes a single pile of the 500 sheets of paper. Which a metre rule, she measured the height of the pile. The height
Cerrena [4.2K]

Answer:  please see attached work.

Explanation:  please see attached work.  Assuming 500 sheets of paper = 20 lb.  (typicical value).  

6 0
3 years ago
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