A particle starts from the origin at t = 0 with an initial velocity having an x-

Question

A particle starts from the origin at t = 0 with an initial velocity having an x-component of 23.0 m/s and a y-component of -13.0 m/s. It moves in the xy plane with an acceleration 6.0 m/s2 along the x-direction.

a) Determine the x component of velocity in m/s after 2.20 s.

b) Find the magnitude of the velocity in m/s of the particle at 2.20 s.

c)  Find in meters, the x component of the displacement vector of the particle after t = 2.20 s.

d)  Find in meters, the magnitude of the displacement vector of the particle after t = 2.20 s.

Explanation / Answer

Part A)

Apply vf = vo + at

vf = 23 + 6(2.2)

vf = 36.2 m/s

Part B)

Net is found from the Pythagorean Theorem

v2 = (36.2)2 + (-13)2

v = 38.5 m/s

Part C)

d = vot + .5at2

d = (23)(2.2) + .5(6)(2.2)2

d = 65.12 m

Part D)

In the y direction d = vt

d = -13(2.2) = -28.6 m

Net is from the Pythagorean Theorem

d2 = (65.12)2 + (-28.6)2

d = 71.1 m

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