At any time t < 0, an object of mass m = 1 is at rest and located at the origin (0, 0, 0). At time t = 0, a force F(t) = (4 sin t, 8 sin(21), cos t), 0 SISA is applied to the object until time t = 7. After time t = 7, the force ceases to be applied. Let r(f) represent the position vector of the object at time t. %3! (a) What is the speed v of the object at time t 7? (b) What is the position vector of the object at timet = T? (c) At which time t> n does the object cross the plane with equation x+y = 24x?
At any time t < 0, an object of mass m = 1 is at rest and located at the origin (0, 0, 0). At time t = 0, a force F(t) = (4 sin t, 8 sin(21), cos t), 0 SISA is applied to the object until time t = 7. After time t = 7, the force ceases to be applied. Let r(f) represent the position vector of the object at time t. %3! (a) What is the speed v of the object at time t 7? (b) What is the position vector of the object at timet = T? (c) At which time t> n does the object cross the plane with equation x+y = 24x?
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Transcribed Image Text:At any time t < 0, an object of mass m =
1 is at rest and located at the origin (0, 0, 0). At time t = 0, a force
F(t) = (4 sin t, 8 sin(21), cos t), 0 SISA
is applied to the object until time t = 7. After time t = 7, the force ceases to be applied. Let r(f) represent the
position vector of the object at time t.
%3!
(a) What is the speed v of the object at time t
(b) What is the position vector of the object at timet = T?
(c) At which time t> n does the object cross the plane with equation
x+y = 24x?
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