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Question
A body starts moving from its origin at t = 0 with a velocity of `5hati` in the x-y plane under the action of force producing an acceleration of `(3hati + 2hatj)` m/s2, then y-co-ordinate is ______ m of the body when x-co-ordinate is 84 m.
Options
31.00
32.00
33.00
36.00
MCQ
Fill in the Blanks
Solution
A body starts moving from its origin at t = 0 with a velocity of `5hati` in the x-y plane under the action of force producing an acceleration of `(3hati + 2hatj)` m/s2, then y-co-ordinate is 36.00 m of the body when x-co-ordinate is 84 m.
Explanation:
`x = u_xt + 1/2a_xt^2`
⇒ 84 = `5t + 1/2 xx 3t^2`
⇒ t = 6 s
∴ `y = u_yt + 1/2a_yt^2`
Hence, `y = 1/2 xx 2 xx 36` = 36 m
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