KinematicsHard

Question

A particle leaves the origin an initial velocity = 3 m/s and a constant acceleration = (-1.0î - 0.5ĵ) m/s2 Its velocity and position vector when it reaches its maximum x-co-ordinate are :-

Options

A. = - 2ĵ
B. = - 1.5ĵ m/s
C. = - (4.5î - 2.25ĵ) m
D. = - (3î - 2ĵ) m

Solution

(t) = (3 - 1 × t) î + (0 - 0.5) ĵ  ..............(i)
For maximum positive x coordinate when vx becomes zero
          ∴ 3 - t = 0 ⇒ t = 3 sec
then (3) = 4.5 î - 2.25 ĵ

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