A projectile kinematic in 2 d problem using baskeballs?

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Homework Statement



A basketball leaves a player's hands at a height of 2.20m above the floor. The basket is 3.05m above the floor. The player likes to shoot the ball at a 35.0∘ angle.If the shot is made from a horizontal distance of 5.90m and must be accurate to ±0.22m (horizontally), what is the range of initial speeds allowed to make the basket?
Express your answers using thre significant figures separated by a comma.
Answer in vmin, vmax = m/s

x0=0
yo=0
xf=5.90 m ±0.22m
ax=0 m/s^2
ay=-9.8 m/s^2

Homework Equations



Xf=X0+v0t


The Attempt at a Solution



am I solving for V0x=V0 cos(35)?
& Voy=V0sin (35)


so I did
Xf=X0+v0t
xf=x0 + (vo vcos 35)t
xf= vo cos (35)t
t= xf/ vo cos(35)t

I am just confused that this point.
 
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