# The Velocity of a Particle in Space

1. Sketch the following surfaces and identify by type ( hyperboloid, ellipsoid, etc.).

(a) 4x^2 + 9y^2 + 4z^2= 36

(b) z= x^2 + 4y^2

2. The velocity of a particle in space is given by v(t)= (e^t)i+(sin2t)j + (t^2)k. Find the particle's position as a function of t if r(0)= i + j.

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#### Solution Summary

The velocity of a particle in space is examined.

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