Question

A particle starts from the origin at t = 0 s with a velocity of 10 j m/s and moves in the x-y plane with a constant acceleration of (8.0i + 2.0j) ms⁻²
(a) At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
(b) What is the speed of the particle at the time?

Answer 1

Integrating both sides:

Where,

Integrating the equations with the conditions: at t = 0; r = 0 and at t = t; r = r

Since the motion of the particle is confined to the x-y plane, on equating the coefficients of t and j, we get:

(b) Velocity of the particle is given by: