Find the velocity, acceleration, and speed of a particle with the given position function. Please answer the three-part question, the answer choices are listed in the sub-bullets.

r(t)=5cos(t)i+4sin(t)j

• Find V(t)
  • 5sin(t)i - 4cos(t)j
  • -5sin(t)i - 4cos(t)j
  • -5sin(t)i + 4cos(t)j
  • 4sin(t)i + 5cos(t)j
• Find a(t)
  • -5cos(t)i - 4sin(t)j
  • 9sin(t)i - 8sin(t)j
  • 9sin(t)i + 8sin(t)j
  • 8sin(t)i + 9sin(t)j
• Find the speed |v(t)|
  • 17sin(t)+64
  • 17sin(t)+64
  • 17sin(t)64
  • 9sin2(t)+16