1
answer
0
watching
139
views
12 Nov 2019
1. An object is moving through space with position vector given by r (t) cos 2t, sin 2t, t) where time t is measured in seconds since the start of motion and the r y, and 2 coordinates are measured in meters. (a) Describe the path traveled by the particle (b) Where is the particle 1 second after the start of motion? Where is it 10 second after that? (c) Use your answers to Part (a) and the distance formula to approximate the speed of the particle at time t 1. Is this an underestimate or overestimate? Explain how you know (d) For a vector-vlaued function r(t) (t), y (t), 2 (t)), the derivative is defined as the vector-valued function r (t) J (ar'(t), y (t), 2'(t)). Compute both r'(1) and I r'(1)ll and explain what each one means
1. An object is moving through space with position vector given by r (t) cos 2t, sin 2t, t) where time t is measured in seconds since the start of motion and the r y, and 2 coordinates are measured in meters. (a) Describe the path traveled by the particle (b) Where is the particle 1 second after the start of motion? Where is it 10 second after that? (c) Use your answers to Part (a) and the distance formula to approximate the speed of the particle at time t 1. Is this an underestimate or overestimate? Explain how you know (d) For a vector-vlaued function r(t) (t), y (t), 2 (t)), the derivative is defined as the vector-valued function r (t) J (ar'(t), y (t), 2'(t)). Compute both r'(1) and I r'(1)ll and explain what each one means
Nelly StrackeLv2
16 Oct 2019