The displacement of a particle varies from y= -2/9t2 +7t+5. How long does the particle take to come to rest?
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Displacement, y = -2/9t² + 7t +5
Velocity, v= dy/dt = -4/9t + 7
Particle will come to rest when velocity, v=0
So, -4/9t + 7=0
⇒t = 15.75 s
Velocity, v= dy/dt = -4/9t + 7
Particle will come to rest when velocity, v=0
So, -4/9t + 7=0
⇒t = 15.75 s
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