007 has requested that the specs include the following so he will know what hecan expect out of M²s² in the heat of a chase. Please provide us with M's s: Average speed from 0 to 4 seconds The estimated instantaneous speed at 3 seconds The estimated instantaneous acceleration at 3 secondsDistinguished Calculus advisors, one other important piece of data that ourresearchers have produced is the following function d(t) and its graph that, theysay, accurately portrays what the distance (d) covered by M?s? would be inlonger speed trials (t is measured in seconds).Distance in feet556.45d(t) =(1+46e¬L.09Time in secondsOur researchers have told me that you would be able to provide additionalinformation on M²s² given this valuable data. I am sure that 007 would bepleased to know the precise time that point P occurs and what that means interms of M's"s speed and acceleration. And finally, provide us with what M's'smaximum projected speed will be. Please provide our department with themathematical solution and any Calculus used.As you well know if any of this information gets into enemy hands or in theunlikely event that you are taken prisoner, you are to disavow any contact withour office and/or knowledge of this project. I appreciate your prompt responseand look forward to your correspondence.God save the Queen!Q Dear Calculus Creators:ENT 216 AAs you well know I am the head of007s Research Laboratory forweapons of mass destruction. Assuch, I would like to share with you the latest of my inventions –- the ModifiedMotor Scooter System (or M²s³). At first glance, this motor scooter is ratherordinary looking (as a matter of fact you may have seen them a lot in and aroundyour neighborhoods), but this piece of equipment comes with quite a few hiddensurprises for 007 to use while trying to apprehend the world's most dangerousfelons. For example, it is equipped with a submachine gun, helicopter blades forinstantaneous flight, and two micro-nuclear bombs that will destroy anythingwithin a city block with no radioactive contamination occurring! Enough about mynewest "baby"... (Oh, by the way, a picture of this impressive piece of machineryis on the previous page.)ABT EON NEWI am giving you this privileged, top-secret information because I urgently needyour help! I respect the knowledge and expertise you have shown in the pastwhen your help was required. Our present difficulty is that our field testing crewshave not had enough time to adequately study the machinery in order to give 007all of the necessary specs. However, he wants to use this machine on his April20th assignment in Tasmania. The data in the table below is from the first part(only four seconds) of a speed trial for the M's?. I trust that you will know what todo with it.Distance (d) traveledin feetTime (t) in seconds12529819834350

Question

007 has requested that the specs include the following so he will know what hecan expect out of M²s² in the heat of a chase. Please provide us with M's s:> Average speed from 0 to 4 seconds> The estimated instantaneous speed at 3 seconds> The estimated instantaneous acceleration at 3 secondsDistinguished Calculus advisors, one other important piece of data that ourresearchers have produced is the following function d(t) and its graph that, theysay, accurately portrays what the distance (d) covered by M?s? would be inlonger speed trials (t is measured in seconds).Distance in feet556.45d(t) =(1+46e¬L.09Time in secondsOur researchers have told me that you would be able to provide additionalinformation on M²s² given this valuable data. I am sure that 007 would bepleased to know the precise time that point P occurs and what that means interms of M's&#34;s speed and acceleration. And finally, provide us with what M's'smaximum projected speed will be. Please provide our department with themathematical solution and any Calculus used.As you well know if any of this information gets into enemy hands or in theunlikely event that you are taken prisoner, you are to disavow any contact withour office and/or knowledge of this project. I appreciate your prompt responseand look forward to your correspondence.God save the Queen!Q Dear Calculus Creators:ENT 216 AAs you well know I am the head of007s Research Laboratory forweapons of mass destruction. Assuch, I would like to share with you the latest of my inventions –- the ModifiedMotor Scooter System (or M²s³). At first glance, this motor scooter is ratherordinary looking (as a matter of fact you may have seen them a lot in and aroundyour neighborhoods), but this piece of equipment comes with quite a few hiddensurprises for 007 to use while trying to apprehend the world's most dangerousfelons. For example, it is equipped with a submachine gun, helicopter blades forinstantaneous flight, and two micro-nuclear bombs that will destroy anythingwithin a city block with no radioactive contamination occurring! Enough about mynewest &#34;baby&#34;... (Oh, by the way, a picture of this impressive piece of machineryis on the previous page.)ABT EON NEWI am giving you this privileged, top-secret information because I urgently needyour help! I respect the knowledge and expertise you have shown in the pastwhen your help was required. Our present difficulty is that our field testing crewshave not had enough time to adequately study the machinery in order to give 007all of the necessary specs. However, he wants to use this machine on his April20th assignment in Tasmania. The data in the table below is from the first part(only four seconds) of a speed trial for the M's?. I trust that you will know what todo with it.Distance (d) traveledin feetTime (t) in seconds12529819834350

Accepted Answer

The table of data is

For the average speed from 0 to 4 seconds, we just divide the total distance…