A football is kicked with a speed of `22(m)/(s)` at an angle of `60^@` to the positive x direction taken along horizontal. At that instant, an observer moves past the football in a car that moves with a constant speed of `11(m)/(s)` is the positive x direction. Take `+ve` y direction vertically upwards. `(g=10(m)/(s^2)`)

Options

A. The initial velocity of the ball relative to the observer in the car is `11sqrt3(m)/(s)` in the `+y` direction
B. The initial velocity of the ball relative to the observer in the car is `17(m)/(s)` at `60^@` to the `+x` direction
C. According to the observer in the car, the ball will follow a path that is straight up and down in the y direction.
D. According to the observer in the car, the ball will follow a straight line that is angled (less than `90^@`) with respect to the observer.

Answer

A, C

Explanation

w.r.t. to observer `(V_x)` football/obs.
`=11-11=0`
So motion of the ball as seen from observer will be purely bertical with initial velocity `11sqrt3` upwards.