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Starting from origin at t=0, with initia...

Starting from origin at t=0, with initial velocity `5 hat(j) m//s`, a particle moves in the `x-y` plane with a constant acceleration of `(10 hat(i) - 5hat(j))m//s^(2)`. Find the coordinates of the particle at the moment its y-coordinate is maximum.

A

(5m, 5m)

B

(2.5m, 2.5m)

C

(5m, 2.5m)

D

(2.5m, 5m)

Text Solution

Verified by Experts

The correct Answer is:
C
y-coordinate is maximum When `v_(y) = 0`
`y_(y) = u_(y) + a_(y) t rArr 0= 5- 5t rArr t= 1`
`x= u_(x) t + (1)/(2) a_(x) t^(2) = 0 + (1)/(2) (10) (1)= 5`
`y= u_(y) t + (1)/(2) a_(y) t^(2) = 5(1) + (1)/(2) (-5) (1) = 2.5`
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