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Rectilinear Motion

Question

xandy-coordinates of a particle moving inx-y plane are,
x=1-2t+t2 and y=4-4t+t2
For the given situation match the following two columns:

Column IColumn II 
(a) y-component of velocity when it crosses the y-axis(p) + 2 SI unit
(b) x-component of velocity when it crosses the x-axis(q) - 2 SI unit
(c) Initial velocity of particle (r) + 4 SI units
(d) Initial acceleration of particle(s) None of the above

Moderate
Solution

6. 
vt=dxdt=2t-2 a2=dvtdt=2 vy=dydt=2t-4 ay=dvydt=2
(a) It crosses y-axis when, x=0
  t=18
At this instant vyis -2 m/s.
(b) It crosses x-axis when, y=0
  t=2 s  t=2 s
At this instant vxis +2 m/s
(c) At t=0,vx=-2 m/s andvy=-4 m/s
   Speed =vx2+vy2=25 m/s
(d) Att=0,ax=2 m/s2
and
  ay=2 m/s2 a=ax2+ay2 =22 m/s



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