You are given an equation and sets of domains. From those you are supposed to draw some conclusions.
I am confused on how I use the equation to find the cars average speed as the question specifies. I am also confused on that they mean by the numbers varying and how I put that into the equation.You are given an equation and sets of domains. From those you are supposed to draw some conclusions.
What are your thoughts? Exactly where are you stuck?
Please follow the rules of posting in this forum, enunciated at:
https://www.freemathhelp.com/forum/threads/read-before-posting.109846/
Please share your thoughts/work with us - so that we know where to begin to help you.
What is the definition of speed that you have been taught?I am confused on how I use the equation to find the cars average speed as the question specifies. I am also confused on that they mean by the numbers varying and how I put that into the equation.
I am not. And I haven’t been taught a definition of speed yet.What is the definition of speed that you have been taught?
Are you in Calculus yet?
In that case, you cannot be expected to answer the questions.I am not. And I haven’t been taught a definition of speed yet.
yesBy definition of speed do you mean like miles per hour or dist/time?
Would you plug the numbers into the equation, then get 2 answers for d and find the average?yes
average speed = (distance traveled) / (time elapsed)
Now referring back to the problem, let's do a(ii) first.
How would calculate the distance traveled, by the particle, from the given equation?
Yes and No. - Lets work step by step.Would you plug the numbers into the equation, then get 2 answers for d and find the average?
D when t=2 is 8,Yes and No. - Lets work step by step.
What is the value of "d" at t =2? [let's call that d(2)]
What is the value of "d" at t =4? [let's call that d(4)]
What does d(2) & d(4) represent - physically?
Correct - butD when t=2 is 8,
And d when t=2 is 24
They represent the distance the car has gone after (t)?
Oh, so from the sidewalk?Correct - but
They represent the distance - from where - the car has gone after (t)
Yes - from the cross-walk.Oh, so from the sidewalk?
I am unsure. Would it be the distance the car has gone at d(4) [so 8] - d(2) [24]?Yes - from the cross-walk.
So then what does
[d(4) - d(2)] represent?
Draw a little sketch.I am unsure. Would it be the distance the car has gone at d(4) [so 8] - d(2) [24]?
So since speed- distance/time, the average speed here would be d/t, thus 16/2, which is 8.Draw a little sketch.
Draw a line to indicate the "line of travel" of the car. Let us assume it is a st. line.
Draw a point O on the line to indicate cross-walk.
Now draw a point X2 to indicate position of car at t=2 (driving away from the cross-walk). The length OX2 will be the distance d(2) you have calculated (do you see that?).
Again draw a point X4 to indicate position of car at t=4 (driving away from the cross-walk). The length OX4 will be the distance d(4) you have calculated.
So the distance traveled in 2 to 4 minutes is [24-8=] 16 feet.
The elapsed time to travel [4 - 2 =] 2 minutes ............................................................................................edited
The car has traveled 16 feet in 2 minutes - what is its average speed? Please post your answer.
Do the same operations for part 'b (ii)'. Please post your detailed (showing steps) answer.
After that we will attack the part (i) of (a) and (b).