PracticeFinal

# PracticeFinal - Physics 1A"Practice Final C Fronsdal 1...

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Physics 1A “Practice Final”, C. Fronsdal 1. Prove that a · b × c is the volume of a certain parallelipiped. (see p. 25) 2. Show that A × ( B × C ) = ( A · C ) B - ( A · B ) C 1.93 Vectors 3. A particle moves in 1 dimension such that x (0) = 0 at time t = 0 , v (0) = 0 , a ( t ) = sin( ωt ) 4. Find x ( t ) by integration. (see p. 57) 2.24 2.39 5. A particle moves on a fixed circle around the origin with radius R and angle θ changing with time. Calculate the velocity v ( t ) and the acceleration a ( t ) with respect to ordinary coordinates x, y . Then make a sketch that shows these vectors at 3 different times. (see p. 77) Q3.6 3.14 6. A gun is fired at ground level. At what angle with the ground should it be aimed to achieve the maximum distance over level ground? 3.33 3.41 3.51 7. A car drives off a horizontal pier at 10 m/sec. The distance between the wheels is 2m. At what angle from the horizontal does the car hit the water 10m below? Make rough approximations. (see, e.g. 3.64, 3.13) 3.71 3.86 Q4.12 Q4.15 (Galilean transformation) 4.51 1

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4.53 4.62 See p. 145 (elevators) See p. 161 (banked road) Q5.3 Q5.22 5.2 5.4 5.13 5.33 5.50 5.67 Ch. 6 - See Example 6.4 on p. 189.
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