Question

The position of a particle is given by

r=3.0t i - 2.0 t² j + 4.0 k m

Where t is in seconds and the coefficients have the proper units for r to be in metres.

(a) Find the v and a of the particle?
(b) What is the magnitude and direction of velocity of the particle at t = 2.0 s?

Answer 1

(a) The position of the particle is given by:

Velocity , of the particle is given as:

Acceleration , of the particle is given as:

8.54 m/s, 69.45° below the x-axis

The magnitude of velocity is given by:

The negative sign indicates that the direction of velocity is below the x-axis.