the position of a body moving along x-axis at time t is given by x=(t^2-4t+6) m.the distance travelled by body in time interval t=0 to t=3s
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Given:
Position of the body moving along X-axis at time t is given by :
x=(t²-4t+6)
Differentiating with respect to t.
v = dx/dt =2t-4
v=2t-4 m/s
Now at t=0;v1=2(0)-4=-4 m/s
now at t=3m/s
v2=2*3-4=6-4=2 m/s
Please refer the attachmet for the velocity time graph.
Position of the body moving along X-axis at time t is given by :
x=(t²-4t+6)
Differentiating with respect to t.
v = dx/dt =2t-4
v=2t-4 m/s
Now at t=0;v1=2(0)-4=-4 m/s
now at t=3m/s
v2=2*3-4=6-4=2 m/s
Please refer the attachmet for the velocity time graph.
Attachments:
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