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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
`v = hat(i) + 2 hat(j) , u_(x) = 1, u_(y) = 2 `
` x = u_(x) t = t`
`y = u_(y) t - (1)/(2) g t^(2) = 2 t - (1)/(2) xx 10 t^(2)`
`y = 2 x - 5 x ^(2)`
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