Question

At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration ->a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds.

Determine the x component of velocity as a function of time t.

Determine the y component of velocity as a function of time t.

Determine the speed of the particle as a function of time t.

Determine the position of the particle as a function of time t.

Answer 1

4.0 is the acceleration in the x direction (with the i-hat unit vector)) and 3.0 is the acceleration in the y direction (with the j-hat unit vector).

Vx = 4.0 t Vy = 3.0 t
V = sqrt(V2^2 + Vy^2) = 5 t

Integrate Vx and Vy for the x and y locations vs. t.

Answer 2

How would you integrate them?

Answer 3

intigrate