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A projectile is given an initial velocit...

A projectile is given an initial velocity of `(hat(i)+2hat(j))` The Cartesian equation of its path is `(g = 10 ms^(-1))` ( Here , `hati` is the unit vector along horizontal and `hatj` is unit vector vertically upwards)

A

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

B

`9y=12x-5x^(2)`

C

`y=9x-5x^(2)`

D

`5y=x-9x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`ucostheta=1,usin theta=2` use equation of the projectile
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Knowledge Check

  • The unit vector along hat(i)+hat(j) is

    A
    `hat(k)`
    B
    `hat(i)+hat(j)`
    C
    `(hat(i)+hat(j))/(sqrt(2))`
    D
    `(hat(i)+hat(j))/(2)`

  • The unit vector along vec(A)= 2 hat i + 3 hat j is :

    A
    `2 hat i+ 3 hat j`
    B
    `(2 hati +3 hatj)/(2)`
    C
    `(2 hati +3 hatj)/(3)`
    D
    `(2 hati+3hatj)/(sqrt(13))`

  • The unit vector along vec(A)=2hat(i)+3hat(j) is :

    A
    `2hat(i)+3hat(j)`
    B
    `(2hat(i)+3hat(j))/(2)`
    C
    `(2hat(i)+3hat(j))/(3)`
    D
    `(2hat(i)+3hat(j))/(sqrt(3))`

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