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A particle is moving such that its posit...

A particle is moving such that its position coordinates `(x, y)` are `(2m, 3m)` at time `t=0, (6m, 7m)` at time `t=2 s`, and `(13 m, 14m)` at time `t=5 s`.
Average velocity vector`(vec(V)_(av))` from `t=0` to `t=5 s` is

A

(a) 1/5 (13 hat i+ 14 hat j)`

B

(b) ` 7/3 (ha ti+ hat j)`

C

(b) 2 ( hat I + hat j)`

D

(d) (11) /5 (hat I + hat j)`

Text Solution

Verified by Experts

The correct Answer is:
D
` vec V_(av0 = ((x _2 -x_1 ) hat I + (y_2 -y_1) hat j) /(t_1 -t_1)`
= (13 - 2 ) hat i+ (14 -3) hat j)/95-0)`
`= (11 hat I + 11 haat j)/5 = (11 0/5 ( hat i+hat j)`.
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