# Homework Help: Vectors & Projectile Motion

1. Sep 10, 2009

### Alserina

1. The problem statement, all variables and given/known data
A basketball leaves a player's hands at a height of 2.15m above the floor. The basket is 3.05m above the floor. The player likes to shoot the ball at a 40-degree angle.

If the shot is made from a horizontal distance of 10.00m and must be accurate to +0.32m (horizontally), what is the range of initial speeds allowed to make the basket?

2. Relevant equations
sinx = opposite side/hypotenuse

3. The attempt at a solution
What I attempted to do was draw two right-angled triangles /| with a 40-degree angle, a 0.9m vertical side and a variable horizontal side (9.68m/10.32m) and tried to figure out the hypotenuse, but it doesn't seem right...

2. Sep 10, 2009

### rl.bhat

What is the relevant equation of the projectile motion?

3. Sep 11, 2009

### Alserina

final velocity = initial velocity + (9.80)(time)? I don't really get which p.m. equation would apply...

4. Sep 11, 2009

### rl.bhat

The equation can be written as
y = yo + x*tanθ - 1/2*g*x2/(v*cosθ)^2
Solve for v.

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