A projectile kinematic in 2 d problem using baskeballs?

In summary, we are given a scenario where a basketball is being shot by a player from a horizontal distance of 5.90m and must be accurate to ±0.22m (horizontally). The basket is located at a height of 3.05m above the floor and the player shoots the ball at a 35.0∘ angle from a height of 2.20m above the floor. Using the equation Xf=X0+v0t, we can solve for the range of initial speeds (V0) allowed to make the basket, taking into account both the horizontal and vertical motion.
  • #1
chapstick42
1
0

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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  • #2
You covered the horizontal part, that's fine. What about the vertical motion?
 

What is a projectile kinematic in 2D problem using basketballs?

A projectile kinematic in 2D problem using basketballs is a type of physics problem that involves analyzing the motion and trajectory of a basketball as it is launched at an angle and travels through the air.

What are the key variables involved in a projectile kinematic in 2D problem using basketballs?

The key variables involved in this type of problem are the initial velocity of the basketball, the angle at which it is launched, the acceleration due to gravity, and the time it spends in the air.

How do you calculate the initial velocity in a projectile kinematic in 2D problem using basketballs?

The initial velocity can be calculated using the equation v = √(2gh), where v is the initial velocity, g is the acceleration due to gravity, and h is the height at which the basketball is launched.

What is the maximum height reached by a basketball in a projectile kinematic in 2D problem?

The maximum height reached by a basketball can be calculated using the equation h = (v^2sin^2θ)/2g, where h is the maximum height, v is the initial velocity, and θ is the launch angle.

How is the range of a basketball calculated in a projectile kinematic in 2D problem using basketballs?

The range of a basketball can be calculated using the equation R = (v^2sin2θ)/g, where R is the range, v is the initial velocity, and θ is the launch angle.

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