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A projectile is given an initial velocit...

A projectile is given an initial velocity of ` ( hat(i) + 2 hat (j) ) m//s`, where ` hat(i)` is along the ground and `hat (j)` is along the vertical . If ` g = 10 m//s^(2) `, the equation of its trajectory is :

A

`4y = 2x - 5x^(2)`

B

`4y = 2x - 25x^(2)`

C

`y = y - 5x^(2)`

D

`y - 2x - 5x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`{:(vecv = hati +2hatj,,rArr,,v_(x)=1),(,,,,v_(y)=2):}`
`y = x tan theta - (gx^(2))/(2u^(2) cos^(2) theta)`
`y = x(2) - (gx^(2))/(2(5)((1)/(5))) = 2x - 5x^(2)`
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