  A particle is at rest and at x=0 and y=0 at time = 0. The particle then moves in the x-y plane with an acceleration in m/s^2 of a = 5t^2 i + 5t j , where t is in seconds. Determine the magnitude of the particle's velocity vector in m/s at instant the y-component of the position vector ry = 8 meters.

Question

A particle is at rest and at x=0 and y=0 at time = 0. The particle then moves in the x-y plane with an acceleration in m/s^2 of a = 5t^2 i + 5t j , where t is in seconds. Determine the magnitude of the particle's velocity vector in m/s at instant the y-component of the position vector ry = 8 meters.

Step 1 help_outlineImage TranscriptioncloseGiven Jntormation - At fime (tzo) x-0 cand yo At time tzo) Vx =o and Uyzo Acceleration vectpr a z 5ti+5tj fullscreen
Step 2 help_outlineImage TranscriptioncloseGiven a5t and ay 5t Velodty of the panticle a dv dt dv adt V -Ja,dt VxSstdt Jstdt Vyay dt 5 Vy At time Cto) Vyzo At time to), Vxo C20 . V St fullscreen
Step 3 help_outlineImage TranscriptioncloseDisplacement is calculated as ds dt ds Vd t S vdt SVndt Sx= S- 37 Sy 6 At fime (to) Sy 0 (2 At time (t-o) S0 5t S C20 (2 fullscreen

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Kinematics 