# physics

posted by .

a 2.00 m tall basketball player is standing on the floor 10 m from the basket. if she shoots the ball at a 40 degree angle with the horizontal at what initial speed mjust he throw the basketball so that it goes through the hoop without striking the backboard? the height of the basket is 3.05 m

• physics -

1.) First, solve in the y direction. You know the ball starts at 2m and ends at 3.05m. You also know that acceleration is -9.8m/s^2, and that initial velocity in the y direction is going to be the overall initial velocity times sin45. You then use the equation x-x0=v0t+.5at^2, which after plugging in your values is 1.05=v0sin(45)t-4.9t^2. Now you just need something to plug in for t, and to do this, create an equation in the x direction.

2.) In the x direction, acceleration is going to be zero, since the problem does not tell you about any air resistance. Distance is 10m, and the initial velocity in the x direction is going to be the overall initial velocity times cos45. So using the same equation as in 1.) except plugging in numbers from the x direction, you get 10=v0cos(45)t, with no acceleration. You can then see that t=10/(v0cos45).

3.) Plug this value for t back into the equation in the y direction. 1.05=10v0sin(45)/v0cos(45)-490/(v0cos45)… This simplifies to 8.95=490/(v0cos45)^2, and solving for v0 would give you v0 = (490/(8.95cos^2(45))^(1/2).

## Similar Questions

1. ### physics

A basketball player is standing on the floor 10.0 m from the basket as in the figure below. The height of the basket is H = 3.05 m, and he shoots the ball at an angle, θ = 37.6°, with the horizontal from a height of h = 2.20 …
2. ### physics

A 1.85 m tall basketball player attempts a goal 9.3 m from a basket (3.05 m high). If he shoots the ball at a 45° angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard?
3. ### physics

A basketball player is standing on the floor 10.0 m from the basket as in Figure P4.50. The height of the basket is 3.05 m, and he shoots the ball at a 40.0o angle with the horizontal from a height of 2.00 m. (a) What is the acceleration …
4. ### physical

A basketball player who is 2.0m tall is standing on the floor 10.0m from the basket,If he shoots the ball at a 40.0¤ angle witi the horizontal,at what initial speed must he throw so that it goes through the hoop without striking the …
5. ### physics

A 2.0-m-tall basketball player is standing on the floor a distance d from the basket, as shown in the figure below. He shoots the ball at an angle of 40.0o above the horizontal with a speed of 10.67 m/s and makes the shot. The height …
6. ### Physics

A 2.12 m tall basketball player wants to sink the ball into a basket located 14 m from the player, as in Figure P3.58. If he shoots the ball at a 46° angle, at what initial speed must he throw the basketball so that it goes through …
7. ### physics

A basketball player shoots the ball from a height of 2.22 m above the floor at a horizontal distance of 1 m from the basket which is 3.05 m above the floor. If she shoots the ball at an angle of 42° above the horizontal, what initial …
8. ### phy 231

An h1 = 2.10 m tall basketball player wants to make a basket from a distance d = 19.2 m, as seen in the figure. If he shoots the ball at α = 54.4° angle, at what initial speed must he throw the basketball so that it goes through …
9. ### Physics

A basketball player who is 2.00 m tall is standing on the floor 8 m from the basket. If he shoots the ball at a 390 angle with the horizontal, what initial speed must he shoot the ball so that it goes through the hoop without striking …
10. ### Physics

A basketball player who is 2.00 m tall is standing on the floor 8 m from the basket. If he shoots the ball at a 390 angle with the horizontal, what initial speed must he shoot the ball so that it goes through the hoop without striking …

More Similar Questions