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Mathematics 22 Online
OpenStudy (anonymous):

show that, for 5

OpenStudy (anonymous):

and how can i explain the graph that maybe used to show the speeds at t=5 and t=7 are equal?

OpenStudy (anonymous):

is this a part of a larger question?

OpenStudy (anonymous):

well its a follow up question from the other oone :S

OpenStudy (anonymous):

which other one?

OpenStudy (anonymous):

the original question that i asked the other question that i typed in the reply is the follow up qeustion

OpenStudy (anonymous):

ok thank you! finally we are getting somewhere

OpenStudy (anonymous):

:) soz :S

OpenStudy (anonymous):

okay. so you have to show that the acceleration follows a = -5t +30 for 5<=t<=7

OpenStudy (anonymous):

notice from the graph that the acceleration is a straight line with a steep negative slope between 5s and 7s

OpenStudy (anonymous):

the slope of the curve is vertical/horizontal that is -5/1 = -5 with me so far?

OpenStudy (anonymous):

also, since it is a straight line, the general form of the expression for acceleration is a = mt+b where a is the acceleration, m is the slope and b is the y intercept.

OpenStudy (anonymous):

we found that the slope is -5 so a = -5t + b

OpenStudy (anonymous):

now, to find b, we substitute a point on the line in the above equation. at t = 6s, acceleration is 0 so substituting this point we get 0 = -5(6)+b b - 30 = 0 b = 30. so the equation of the acceleration curve between t = 5s and t = 7s is a = -5t+30

OpenStudy (anonymous):

THANKS!!! :)

OpenStudy (anonymous):

wait so how can i explain the graph that maybe used to show the speeds at t=5 and t=7 are equal?

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