Question

A particle experiences two forces and is initially at rest at coordinates (-2.00 m, +4.00 m).

(a) Find the components of the particle's velocity at t = 10.0 s.
(b) Determine the direction of the particle's movement at t = 10.0 s.
(c) Calculate the displacement undergone by the particle in the first 10.0 s.
(d) Find the coordinates of the particle at t = 10.0 s.

Answer 1

This response provides a step-by-step explanation of how to find the components of velocity, the direction of movement, the displacement, and the coordinates of a particle at a given time.

Step-by-step explanation:

(a) To find the components of the particle's velocity at t = 10.0 s, we need to determine the particle's initial velocity and the acceleration it experiences. The initial velocity is zero since the particle is initially at rest. The acceleration is the sum of the two forces acting on the particle.

(b) To determine the direction of the particle's movement at t = 10.0 s, we need to analyze the resulting velocity vector. The direction of the movement is determined by the direction of the velocity vector.

(c) The displacement undergone by the particle in the first 10.0 s can be calculated by integrating the velocity function over the interval [0, 10].

(d) The coordinates of the particle at t = 10.0 s can be determined using the position function, which is the integral of the velocity function.