Phys20_F08_MT1

Phys20_F08_MT1 - How far does the car move during this...

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University of California, Santa Barbara Department of Physics Physics 20 Midterm 1 Fall 2008 1. (30 pts) Consider two vectors, = a v 3 i ˆ j ˆ + 2 k ˆ , and = b v i ˆ + 2 j ˆ k ˆ . Find: a) b a v r + b) a v c) b a v v d) The angle between a v and b v . * e) b a v v × f) A unit vector parallel to a v . * You may leave your answer in terms of an inverse trigonometric function. 2. (30 pts) A car starts from rest and accelerates with a constant acceleration ( a = 3 m/s 2 ) in a straight line. When it reaches a point 150 m from where it started, it stops accelerating, and begins coasting at constant velocity. (We are ignoring all friction here!) It travels at this constant velocity for 5 seconds. a) How long does the whole process take? b)
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Unformatted text preview: How far does the car move during this time? c) What is the average velocity for this trip? d) What is the average acceleration for this trip? 3. (40 pts) An elevator is ascending at constant velocity which is not known. At a time T 1 seconds after the bottom of the elevator passes ground level, a loose bolt falls from the bottom of the elevator. The bolt takes a time of T 2 seconds to fall back to ground level. How far was the bottom of the elevator above ground level when the bolt dropped? Hint(s): Draw a diagram. Choose an origin. Pick a direction to be positive. Write down the relevant equations. You are 90% there!...
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This note was uploaded on 04/29/2009 for the course PHYS 5 taught by Professor Freedman during the Spring '08 term at UCSB.

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Phys20_F08_MT1 - How far does the car move during this...

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