In: Physics
For full credit, show the steps that you take to solve this problem.
A particle is undergoing motion such that its position is described by the equation:
r(t) = [(5t3 + 2t) i + (3t2 - 8) j] m
a) Find the velocity as a function of time
b) What is the velocity at 2.0 s? (magnitude and direction)
c) Find the acceleration as a function of time
d) What is the acceleration of the particle at 2.0 s? (magnitude and direction)