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Problem: A particle's trajectory is described by x =(12t3−2t2)m and y =(12t2−2t)m, where t is in s.Part A What is the particle's speed at t=0s ? v = m/s

FREE Expert Solution

Velocity:

v=vx2+vy2

The x-component of velocity, vx

vx=dxdt=ddt(12t3-2t2)

vx = 36t2 - 4t

The y-component of velocity, vy

vy=dydt=ddt(12t2-2t)

vy = 24t - 2

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Problem Details

A particle's trajectory is described by x =(12t3−2t2)m and y =(12t2−2t)m, where t is in s.

Part A What is the particle's speed at t=0s ? v = m/s

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