%3Cp%3E%3Cspan%20style%3D%22font-family%3A%26nbsp%3Bverdana%2C%26nbsp%3Bhelvetic
ID: 2277554 • Letter: #
Question
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/ Answer
a) x = x0 + vx0*t + 1/2*a*t^2
b) v = vx0 + a*t =
c) Here we have x = A*sin(?t);;so v = ?A*cos(?t) ...and a = -?^2A*sin(?t)
So initially we have x = 0.130 = A*sin(?t); v = 0.130 = ?*A*cos(?t) and a = -0.360 = -?^2A*sin(?t)
So a /x = 0.360/0.130 = ?...so ? = 2.769
Now square the a eqn and the v eqn and add them
x^2 = A^2*sin^2(?t)
v^2 = ?^2A^2*cos^2(?t)
adding we get x^2 + v^2/?^2 = A^2*(sin^2 + cos^2) = A^2
Therefore A = sqrt((x^2 + v^2/?^2)) = sqrt((0.130^2 + 0.130^2/ 2.769^2))
So x = A*sin(2t) and v = 2*A*cos(2t) = 2A*cos(2t)
Note angles are inradians
So at t = 4.60s x =
and v =____m/s
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