Kinematics of a Particle - Curvilinear Motion: Normal and Tangential Coord

Kinematics of a Particle - Curvilinear Motion: Rectangular Coord

A particle P is traveling around a circular path such that at the instant considered, the speed is 3m/s and increasing at 4m/s². Calculate the magnitude of the particle's acceleration at this instant.

Answer: a = m/s²
When t = 0, s = 0.5, v = 1m/s. If v = (3t + 1) m/s, where t is in seconds, compute:

a) the distance s traveled by the particle when t = 1s.

Answer: s = m

b) the speed of the particle when t = 1s.

Answer: v = m/s

c) the acceleration of the particle when t = 1s.

Answer: a = m/s²
When s = 0, v = 0. If a_t = (4s) m/s², where s is in meters,

calculate:

a) the particle's speed when s = 1m.

Answer: v = m/s

b) the magnitude of acceleration when s = 1m?

Answer: a = m/s²
A particle is traveling along the parabolic path with a constant speed of 2m/s.

a) Determine the radius of curvature r (roa) at A.
Answer: r = m

b) What is the particle's acceleration at A.

Answer: a = m/s²