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karush

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MHB

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$\tiny{207 \quad DOY}$

A particle moves along the x-axis. The velocity of the particle at time t is $6t - t^2$.

What is the total distance traveled by the particle from time $t = 0$ to $t = 3$ ? $(A)\,3 \quad (B)\,6 \quad (C)\,9 \quad (D)\,18\quad (E) \, 27$

ok think this is correct...

the reason I am posting these is bc I am preparing a list of about 30+ AP exam problems which will be sent via a cell phone about twice a week to HS students who will eventually take the AP calculus Exam.

if you have ever looked up solutions to these, they range from a quick one line to a major production.

I want the simplest and shortest as possible and still maintain integrity of the topic

Most AP problems do not require heavy calculation, many can done just by observation.

MHB has a been a great source to get to the main core of these problems and would be a help tremendously to those who will need to take the test.

A particle moves along the x-axis. The velocity of the particle at time t is $6t - t^2$.

What is the total distance traveled by the particle from time $t = 0$ to $t = 3$ ? $(A)\,3 \quad (B)\,6 \quad (C)\,9 \quad (D)\,18\quad (E) \, 27$

$\displaystyle\int_0^3 6t - t2 \: dt = 3t^2-\dfrac{1}{3}t^3\Bigg|_0^3=27-9=18\quad (D)$

ok think this is correct...

the reason I am posting these is bc I am preparing a list of about 30+ AP exam problems which will be sent via a cell phone about twice a week to HS students who will eventually take the AP calculus Exam.

if you have ever looked up solutions to these, they range from a quick one line to a major production.

I want the simplest and shortest as possible and still maintain integrity of the topic

Most AP problems do not require heavy calculation, many can done just by observation.

MHB has a been a great source to get to the main core of these problems and would be a help tremendously to those who will need to take the test.

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