Problem A particle moves through the origin of an xy coordinate system at t = 0

Question

Problem A particle moves through the origin of an xy coordinate system at t = 0 with initial velocity i = (21 - 14) m/s. The particle moves in the xy plane with an acceleration = 4.1 m/s2.

A particle initially located at the origin has an acceleration of = 2.6 m/s2 and an initial velocity of i = 5.3 m/s.
(a) Find the velocity of the particle at t = 6.0 s.


i m/s +

m/s j

(b) Find the speed of the particle at this time.


m/s

(c) Find the angle between the direction of travel of the particle and the x axis at this time.

Explanation / Answer

(a) At t= 6 s, x-velocity = 5.3 m/s

y-velocity = 0+2.6*6 = 15.6 m/s

Net velocity = 5.3i + 15.6 j

(b) Speed of the particle = (5.32+15.62) = 16.5 m/s

(c) Angle = atan(15.6/5.3) = 71.2 degrees

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