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Unformatted text preview: homework 03 RAHMAN, TARIQUE Due: Feb 4 2008, 3:00 am 1 Question 1, chap 2, sect 6. part 1 of 1 10 points A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m / s 2 for 9 . 3 s until its motor stops. The acceleration of gravity is 9 . 8 m / s 2 . Disregarding any air resistance, what max- imum height above the ground will the rocket achieve? Answer in units of km. Question 2, chap 2, sect 7. part 1 of 1 10 points An object is released from rest at time t = 0 and falls through the air, which exerts a resistive force such that the acceleration a of the object is given by a = g b v , where v is the objects speed and b is a constant. If limiting cases for large and small values of t are considered, which of the following is a possible expression for the speed of the object as an explicit function of time? 1. v = ( g + a ) t b 2. v = ( g e bt ) b 3. v = v + g t, v negationslash = 0 4. v = g t b t 2 5. v = g ( 1 e- bt ) b Question 3, chap 2, sect 7. part 1 of 1 10 points The acceleration of a marble in a certain fluid is proportional to the speed of the marble squared, and is given by a = v 2 , where v > 0 m/s and = 4 . 8 m- 1 . If the marble enters this fluid with a speed of 1 . 42 m / s, how long will it take before the marbles speed is reduced to half of its initial value?...
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