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A particle is moving in x-y p1ane.At tim...

A particle is moving in x-y p1ane.At time t`=0,` particle is at `(1m, 2m)` and has velocity `(4 hat i + 6 hat j) m//s.` At `t = 4s,` particle reaches at `(6m, 4m)` and has velocity `(2 hat i + 10 hat j) m//s.` In the given time interval, find
(a) average velocity,
(b) average acceleration and
(c) from the given data, can you find average speed?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

(a) `v_(av)=s/t=(r_f-r_i)/t`
`=((6 hati+4 hatj)-(4 hati+6 hatJ))/4`
`=(1.25 hati+0.5 hatj)m//s`
(b) `a_(av)=(Deltav)/t=(v_f-v_i)/t`
`=((2 hati+10 hatj)-(4 hati+6 hatj))/4`
`=(-0.5 hati+hatj) m//s^2`
(c) We cannot calculate the distance travelled from
the given data.
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