A Body Hanging From A Spring (fig.) Is Stretched 5 Units Beyond Its Rest Position And Released At Time T =O To Oscillate Up And Down. Its Position At Any Later Time (t) Is
A body hanging from a spring (fig.) is stretched 5 units beyond its rest position and released at time t =O to oscillate up and down. Its position at any later time (t) is
What are its velocity and acceleration at time t ?
Position: s = 5 cos t
velocity: v = ds/dt=d/dt(5 cos t)=5(d/dt) cos t = -5 sin t
Acceleration: a= dv/dt=d/dt(-5 sin t)=5(d/dt)=-5 cos t