CLASS 10: ct, \0 NAME: BNI){1'{f\, ..ltYVlC\kHeYI"Vmll\€. L

BONUS. It has been suggested that a JERK, the derivative of acceleration with respect to time or the third derivative ofthe position function, is used to evaluate the destructive effect of motion on a mechanism or discomfort caused topassengers in a vehicle. Recall the position function we used in the lecture s(t) = P - 6t2 + 9t. Find the initial value of thejerk.

PROJECTILE MOTION. A ball is thrown verticaUy upwald from the groood with an ilitial velocity of 64 Wsec. If thepositive direction of the distance from the startilg point is up, the equab of motion is

s=-1612 +641Let tseconds be the time that has elapsed since the ball was thrown and s feet be the distance traveUed by the ballfrom the starting point at t seconds.

(e) How many seoonds does it take the ball to reach its highest point?(f) How high will'the ball go?(9) How many seoonds does it take the ball to reach the ground?(h) Fnd the instantaneous velocity of the ball when it reaches the ground .

.CLASS 10: ~ II C NAME: EN 0/rY A-, eyna,\cl Ji'fl"~'Y)lre L.

PROJECTILE MOTION. A balf is thrown vertically upwald from the ground with an initial velocity of 64 ftfsec. If thepositive direction of the distance from the startilg pOOt is up, the equation of motion is

s=-16t2 +64tLet t seconds be. the time that has elapsed since the baDwas thrown and s feet be the distance travelled by the ballfrom the starting point at t seconds.

(a) Fnd the initial position of the ball.(b) Fnd the instantaneous velocity of the baRat the end of 1 second. Is the ball rising or falling at the end of

1 second?(c) Fild the instantaneous velocity of the baRat the end of 3 seconds. Is the bal rising or falling at the end

of 3 seconds?(d) Fnd the speed of the ball at the end of1 seoond and at Ihe end of3 seconds.

CLASS 10:a~NAME: '5U.f!.DE"{B, Vatriy-a n.ECONOMICS. Pictures of the bumt faculty center is sold at PhP50 each durilg the school fair. Find the following if the

average cost of producing a picture. when x pictures areproduoed. is AC(x) = x + 10 + 175 pesos.x

a. total cost functionb. total cost of producing a picturec. . overhead costd. total cost of producing 5 picturese. total cost of producing 6 picturesf. actual cost ot producing the 611I pictureg. marginal cost functionh. approximate cost of producing the 6" picture after the 511I picture has been produced

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CLASS 10: C\G\ NAME: 5U~Oros, ~ro £"1,

ECONOMICS. Pictures of the bumt faculty center is sold at PhP50 each durilg the school fair. Find the following if the

average cost of producing a picture, when x pictures are produced, is AC(x) = x + 10 + 175 pesos.x

i. total revenue functionj. revenue from the sale of 5 picturesk. total profit functionI. profit from the sale of 5 picturesm. number of pictures for sale to attain maximum profitn. maximum profit

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2SW2. Write your complee solution on 1-whole IP. SBple your work together with the rest of your house mates.

CLASS 10: Cl '00 NAME: IRcN A L-Lt S,C;; 0-111' VI tA- Q.

BIOLOGY. Pisay was affected by AH1 N1 in the first quarter of SY 2009-2010. At time t days a~r the beginning of the

epidemic, there are P(t) = 20t - t2 students sick.(a) At what rate is AH 1N1 Sprea<Mlg after 4 days?(b) At what rate is the virus spreadilg for the first 4 days, on the average?(c) How many students are sick when the virus is spreaditg at the ral3 of 8 students per day?(d) How many students are already sick before the spread of the virus subsides?

CLASS 10: C .'21 NAME:t)A.9/'VItl,QIIv,,9, Ja•••;e DOt41;I'II4>u~ IV.CHEMISTRY. Boyle's law aSS9l1s that pmssu1"9 P is inverse proportional to volume V where P is the number of

pounds per square unit of pressure, V is lhe oormer of cubic units of volume of gas, and C is consant At a certain

instant the pressure is 5000 IbJft2, the volume is 2 ft3 and increasing at the rae of O.5·ft3hnin. How fast is the pressure

changing at this instant?

'RECTLINEAR MOTION. A particle is moving along 8 horizonlalline according to the equation

s=t3 +3t2 -9t+4Determine the intervals of time when the particle is moving to the right and when it is moving to the left. Also determnethe instant when the particle reverses its direction.

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