help me creating a word problem
the project i have to do is like this: http://mrskrummel.com/documents/tissueBoxProblem.pdf
my idea was to do something like The velocity of a moving object can be described as v(t)=t^2v(t)=t2 where t is in seconds and v is meters per second.. If the object starts at v=0 when t=0, how far has it traveled after 30 seconds?
how can i make that into a theme that i can decorate a tissue box about it?
help please
That's a good idea. You could make the theme speed and decorate it either with fast things, or as a fast thing itself... My first thought is to make a box into a drag-racer... Hopefully that helps in some way...
that's a good idea, but how do you think i can improve my problem to make it into like a story about the drag racer
wording the problem i mean
Well, you could ask how fast it's going when it reaches the end of a race, assuming a constant acceleration.
using a positional equation i suppose
a positional equation?
well a distance, or position, equation would be the integral of the velocity function, where velocity would be the integral of the acceleration
The velocity of a drag racer can be described as v(t)=t^2v(t)=t2 where t is in seconds and v is meters per second.. If the object starts at v=0 when t=0, how far has the drag racer traveled after 30 seconds? would this make sense
Didn't you say you needed to use integrals?
yeah
I'm not sure how to do that
ok, so you could tell them the rate of acceleration the car uses during its race, and explain how to find it's velocity at a given time with that information.
which would just be the integral of the acceleration.
okay thank you so much. how could i word that in the problem so it makes sense. sorry for asking so many questions
ok, um. something like: This car accelerates at 3m/s^2. if it starts a race at rest, how fast is it going 6 seconds later as it crosses the finish-line? The answer would be V(t)= the integral of 3t, which is equal to 1.5t^2+c, and C=0 because it starts at rest. so at time t=6 the answer is 54 m/s...
awesome thanks so much. i appreciate it
It is not a realistic equation, nor complex, but something similar should do.
No prob
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