db (ii) =-T/1 ds
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Proof part 2
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- The motion of a point on the circumference of a rolling wheel of radius 2 feet is described by the vector function r(t) = 2(23t sin (23t))i + 2(1 - cos(23t))j - Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) =The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function r(t) = 5(11t sin(11t))i +5(1 − cos(11t))] Find the velocity vector of the point. v(t) Find the acceleration vector of the point. ä(t) = Find the speed of the point. s(t) =If r(t) = cos(lt)i + sin(lt)j - 4tk, compute the tangential and normal components of the acceleration vector. Tangential component aÃ(t) = ¯ Normal component an(t) =
- The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the vector function 7(t) = 3(13t – sin(13t))ỉ + 3(1 – cos(13t)) Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) =The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(12t - sin(12t))i + 4(1 − cos(12t))j Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) = =If r(t) = cos(7t)i + sin(7t)j – 3tk, compute the tangential and normal components of the acceleration vector. COS Tangential component ar(t) Normal component an(t) =
- The path r(t) = (4 sin t) i+ (4 cos t) į describes motion on the circle x +y = 16. Find the particle's velocity and acceleration vectors at t= and 6' and sketch them as vectors on the curve. ) i+ (O . The velocity vector at t= i v 4 (Type exact answers, using radicals as needed.)A charged particle begins at rest at the origin. Suddenly, a force causes the particleto accelerate according to the vector function a(t) = ⟨ sin(t) , 6t , 2cos(t)⟩Find functions for the velocity, speed and position of the particle at time t
