30.09.2022


An object in a simulation accelerates from rest to a speed of 4 meters per second in 2 seconds. It then accelerates linearly for the next 3 seconds until it reaches 10 meters per second. The object remains at that speed(acceleration = 0) for 3 seconds and then de-accelerates linearly until it comes to rest 2 seconds later. Which graph demonstrates the speed of the object for those 10 seconds?

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19.08.2022, solved by verified expert
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Given that :

The object in a simulation accelerates from rest to a speed of 4 meters per second in 2 seconds. 

So, from t = 0 to t = 2 seconds, the graph will rise

It then accelerates linearly for the next 3 seconds until it reaches 10 meters per second.

So, from t = 2 to t = 5 seconds, the graph will be a straight line going upwards. 

The object remains at that speed(acceleration = 0) for 3 seconds.

So, from t = 5 to t = 8 seconds, the graph will be a horizontal line. 

It then de-accelerates linearly until it comes to rest 2 seconds later.

So, from t = 8 to t = 10 seconds, the graph will be a horizontal line coming downwards.

The graph that follows the above trends is D. 

Thus, graph D is correct. 

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Mathematics
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P Answered by Master
Since you did not give the choices for which graph it represent, i will just describe what will it look like. for time 0 - 2 s , it will go diagonally upward until it reach at 4 m/s in the y axis. then from 2 - 5 sit will go diagonally upward until it reach at 10 m/s in the y axis. then from 5 - 8 s will be horizontal. then it will go diagonally downwards 
Mathematics
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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
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P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
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P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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