Find the velocity, acceleration, and speed of a particle with the given position function. Sketch the path of the particle and thaw the velocity and acceleration vectors for the specified value of t.
3, r(t)= <t^2 ? 1, t>, t=1
4. r(t)=<2?t, 4 sqrt t), t=1
5. r(t)=e^t i+e^-t j, t=0
Vector Functions, Velocity, Speed and Acceleration of a Particle are investigated.