A projectile kinematic in 2 d problem using baskeballs?

AI Thread Summary
The problem involves calculating the range of initial speeds for a basketball shot made from a height of 2.20m to a basket at 3.05m, with a shooting angle of 35.0 degrees and a horizontal distance of 5.90m. The horizontal motion is described by the equation Xf = X0 + v0 cos(35)t, while the vertical motion needs to be addressed separately to account for the height difference and gravitational acceleration. The participant is unsure how to incorporate the vertical motion into their calculations after establishing the horizontal component. The goal is to determine the minimum and maximum initial speeds required to ensure the basketball reaches the basket accurately within the specified horizontal tolerance. The discussion emphasizes the need to integrate both horizontal and vertical kinematics to solve the problem effectively.
chapstick42
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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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You covered the horizontal part, that's fine. What about the vertical motion?
 
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