1.) Consider 3 vectors, A = (8, -2, 3), B = (-4, 3, 5), and C = (1, 8, 2). What

Question

1.) Consider 3 vectors, A = (8, -2, 3), B = (-4, 3, 5), and C = (1, 8, 2). What is the dot product of A with (B-C)?

2.) An aircraft is landing at an airport. Its wheels first touch ground when its horizontal speed is 56 m/s. Then, to come to rest, the plane can decelerate at a maximum of 5 m/s^2. What is the minimum amount of additional time (in s) necessary before the plane can come to rest, once it's on the runway?

3.) Consider a simple harmonic oscillator that makes 3 complete oscillations in a total time 8.2 s. What is the angular frequency omega (in rad/s) of the oscillator?

Remaining three hw problems, please help

Explanation / Answer

a)B-C=(-5,-5,3)
A=(8,-2,3)
A.(B-C)=-40+10+9=-21

b)u=56m/s
a=-5m/s^2
v=0
v=u+at
0=56-5t
56=5t
t=56/5=11.2s

c)3T=8.2s
T=8.2/3=2.733s
T=2*pi/omega
omega=2*pi/T=2*3.14/2.733= 2.3rad/s

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