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Kouba WorksheQ/JV 15’ .11. Your little brother is standing on the top of a building which is 500
feet high. With awater cannon aimed at the ground below, he fires a
water balloon vertically downward at 60 miles per hour. How long Will it take to hit the ground ? What is its velocity (in miles per hour) as it
strikes the ground ? Q”. A toy rocket is ﬁred from. ground level with an angle of inclination of
60 ° . If it strikes the ground 15 seconds later, what is the initial velocity of the rocket ? How far away from the “launch pad" does the
rocket land ? +019, rocke+ 39:6 ? 6° 3. Determine the radius r and height h of the cylinder of maximum volume which can be obtained by revolving a rectangle of perimeter 24in. about
one of its sides. LI. Find two nonnegative ; numbers whose sum is one and so that
the sum of the square of the first number and the cube of the second
number is a. amaximum.
b. aminimum. How high alcove ‘H’lQ grow/id 01063 w5§ 5. Points A and B are ten miles. apart. One car leaves point A and heads
directly north at 30 mph and at the same instant a second car leaves point
B and heads directly west at 45 mph. What is the shortest distance the cars will be from each other ? N
w
‘ i 0 ml.
A 6 3 6:. You can swim at the rate of 2 mph and jog at the rate of 4 mph. What
route should you take in order to get home as quickly as possible ? 5/ ml. 6 komﬁ
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“X” ,0“ 7. Assume that y isafunction of x satisfying y" = 1~x2. In addition, an equation of the line tangent to the graph of the function at the
point (i, 1) is y = 2—x . Derive an equation for the function. ...
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 Winter '09
 Kouba
 Calculus

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