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408Kassign4_Sol

# 408Kassign4_Sol - M408K Assignment 4 Due Thursday February...

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Unformatted text preview: M408K Assignment 4 Due Thursday, February 18 Be sure that you have read and understood sections 3.3 and 3.4 before you start this assignment. You must show suﬂicient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. You may use calculators for arithmetic. I strongly discourage you from using a calculator to do any algebraic simpliﬁcation, differentiation, etc., since you will not be allowed to use one on the exams. Feel free to discuss these problems with your classmates. However, each student must write up his or her own solution. 1. An object moves along the z: axis, its position at time t, t 2 0, given by 2t x(t) = 4 + t2, where m is measured in meters and t in seconds. Find the position of the object at the moment when the velocity is 0 m/s. 2. A stone is dropped from a height of 490 meters. Its position t seconds after it is dropped is given by 5(t) = —4.9t2 + 490, where s is measured in meters. Find the velocity of the stone at the moment it hits the ground. 3. An object moves along the y axis, its position at time t, 0 g t S g, given by y(t) = sec t, where y is measured in meters and t in seconds. Find the acceleration of the object at the moment when t = % seconds. 4. Let f(a:) = 2sinascos 9:. Find all values of x, 0 g a: S 27r, where the tangent to the curve y = f is horizontal. ...
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